:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.765620:0.110585:0.765620:0.110585:0.748719:0.096359:0.748719:0.000000:0.000000
  Determinemos las asíntotas verticales y horizontales de la función:  ():@0.110585:0.765620:0.642360:0.765895:0.642360:0.749506:0.110585:0.749231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.614331:0.765895:0.635671:0.765895:0.635671:0.749534:0.614331:0.749534:0.000000:0.000000
x:@0.677257:0.757133:0.684720:0.757133:0.684720:0.740772:0.677257:0.740772:0.000000
x:@0.684904:0.776744:0.692367:0.776744:0.692367:0.760383:0.684904:0.760383:0.000000
=:@0.645327:0.765480:0.655443:0.765480:0.655443:0.748538:0.645327:0.748538:0.000000
−:@0.671080:0.776324:0.681197:0.776324:0.681197:0.759382:0.671080:0.759382:0.000000
2:@0.667468:0.757128:0.676461:0.757128:0.676461:0.740739:0.667468:0.740739:0.000000
3:@0.659821:0.776739:0.668813:0.776739:0.668813:0.760350:0.659821:0.760350:0.000000
 :@0.096359:0.793256:0.100395:0.793256:0.100395:0.776867:0.096359:0.776867:0.000000
Asíntota vertical Dominio :@0.124852:0.793256:0.308130:0.793256:0.308130:0.776867:0.124852:0.776867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.310942:0.794266:0.324247:0.794266:0.324247:0.777517:0.310942:0.777517:0.000000
−:@0.327380:0.792980:0.337496:0.792980:0.337496:0.776038:0.327380:0.776038:0.000000
{}:@0.340039:0.793395:0.359112:0.793395:0.359112:0.777006:0.340039:0.777006:0.000000:0.000000
3:@0.345273:0.793395:0.354265:0.793395:0.354265:0.777006:0.345273:0.777006:0.000000
Asíntota horizontal:@0.383656:0.793256:0.522396:0.793256:0.522396:0.776867:0.383656:0.776867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   > 0 es un número :@0.754293:0.165841:0.899852:0.165841:0.899852:0.150941:0.754293:0.150941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.769236:0.165841:0.774044:0.165841:0.774044:0.150967:0.769236:0.150967:0.000000
racional, tal que   está :@0.754293:0.179671:0.907111:0.179671:0.907111:0.164772:0.754293:0.164772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.863032:0.179671:0.869817:0.179671:0.869817:0.164797:0.863032:0.164797:0.000000
r:@0.869815:0.174173:0.872618:0.174173:0.872618:0.165502:0.869815:0.165502:0.000000
definida para toda  , :@0.754296:0.193501:0.893105:0.193501:0.893105:0.178602:0.754296:0.178602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.879736:0.193501:0.886521:0.193501:0.886521:0.178627:0.879736:0.178627:0.000000
entonces: :@0.754296:0.207331:0.822796:0.207331:0.822796:0.192432:0.754296:0.192432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775158:0.133398:0.882699:0.133398:0.882699:0.116498:0.775158:0.116498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102309:0.416913:0.157944:0.416913:0.157944:0.401336:0.102309:0.401336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para la función :@0.157944:0.416913:0.259296:0.416913:0.259296:0.402014:0.157944:0.402014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.261556:0.416954:0.280761:0.416954:0.280761:0.402229:0.261556:0.402229:0.000000:0.000000
x:@0.303913:0.409068:0.310630:0.409068:0.310630:0.394343:0.303913:0.394343:0.000000
x:@0.303764:0.426718:0.310480:0.426718:0.310480:0.411993:0.303764:0.411993:0.000000
():@0.268058:0.416954:0.286782:0.416954:0.286782:0.402204:0.268058:0.402204:0.000000:0.000000
=:@0.289452:0.416580:0.298557:0.416580:0.298557:0.401332:0.289452:0.401332:0.000000
−:@0.320968:0.408694:0.330073:0.408694:0.330073:0.393447:0.320968:0.393447:0.000000
+:@0.320819:0.426345:0.329924:0.426345:0.329924:0.411097:0.320819:0.411097:0.000000
2:@0.312064:0.402172:0.316755:0.402172:0.316755:0.393624:0.312064:0.393624:0.000000
2:@0.311922:0.419818:0.316613:0.419818:0.316613:0.411270:0.311922:0.411270:0.000000
1:@0.331099:0.409068:0.339192:0.409068:0.339192:0.394318:0.331099:0.394318:0.000000
1:@0.331248:0.426718:0.339341:0.426718:0.339341:0.411968:0.331248:0.411968:0.000000
el :@0.344380:0.416913:0.359725:0.416913:0.359725:0.402014:0.344380:0.402014:0.000000:0.000000:0.000000
dominio es  , no tiene asíntotas verticales.:@0.102308:0.439545:0.386293:0.439545:0.386293:0.424646:0.102308:0.424646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2. :@0.403784:0.415832:0.459419:0.415832:0.459419:0.400254:0.403784:0.400254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos la función.:@0.459419:0.415832:0.607022:0.415832:0.607022:0.400933:0.459419:0.400933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.486474:0.415832:0.490142:0.415832:0.490142:0.400933:0.486474:0.400933:0.000000
Paso 3. :@0.102308:0.600090:0.157942:0.600090:0.157942:0.584512:0.102308:0.584512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos los límites cuando   tiende a ±∞ y determinamos la ecuación de:@0.157942:0.600090:0.666673:0.600090:0.666673:0.585191:0.157942:0.585191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.363072:0.600090:0.369857:0.600090:0.369857:0.585216:0.363072:0.585216:0.000000
la asíntota horizontal.:@0.102308:0.615177:0.243931:0.615177:0.243931:0.600278:0.102308:0.600278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.105489:0.640229:0.126037:0.640229:0.126037:0.625479:0.105489:0.625479:0.000000:0.000000:0.000000
x:@0.102520:0.646134:0.106413:0.646134:0.106413:0.637600:0.102520:0.637600:0.000000
x:@0.134183:0.632343:0.140899:0.632343:0.140899:0.617618:0.134183:0.617618:0.000000
x:@0.134033:0.649993:0.140750:0.649993:0.140750:0.635268:0.134033:0.635268:0.000000
→±∞:@0.107562:0.645917:0.129630:0.645917:0.129630:0.637080:0.107562:0.637080:0.000000:0.000000:0.000000
−:@0.151238:0.631970:0.160343:0.631970:0.160343:0.616722:0.151238:0.616722:0.000000
+:@0.151089:0.649620:0.160194:0.649620:0.160194:0.634372:0.151089:0.634372:0.000000
=:@0.171215:0.639856:0.180320:0.639856:0.180320:0.624608:0.171215:0.624608:0.000000
∞−:@0.184644:0.631970:0.214945:0.631970:0.214945:0.616722:0.184644:0.616722:0.000000:0.000000
∞+:@0.184495:0.649620:0.214795:0.649620:0.214795:0.634372:0.184495:0.634372:0.000000:0.000000
=:@0.225823:0.639856:0.234928:0.639856:0.234928:0.624608:0.225823:0.624608:0.000000
∞:@0.239109:0.631970:0.250934:0.631970:0.250934:0.616722:0.239109:0.616722:0.000000
∞:@0.239109:0.649620:0.250934:0.649620:0.250934:0.634372:0.239109:0.634372:0.000000
2:@0.142334:0.625447:0.147025:0.625447:0.147025:0.616899:0.142334:0.616899:0.000000
2:@0.142192:0.643092:0.146882:0.643092:0.146882:0.634544:0.142192:0.634544:0.000000
2:@0.196940:0.625447:0.201631:0.625447:0.201631:0.616899:0.196940:0.616899:0.000000
2:@0.196800:0.643092:0.201490:0.643092:0.201490:0.634544:0.196800:0.634544:0.000000
1:@0.161368:0.632343:0.169462:0.632343:0.169462:0.617593:0.161368:0.617593:0.000000
1:@0.161518:0.649993:0.169611:0.649993:0.169611:0.635243:0.161518:0.635243:0.000000
1:@0.215982:0.632343:0.224076:0.632343:0.224076:0.617593:0.215982:0.617593:0.000000
1:@0.216132:0.649993:0.224225:0.649993:0.224225:0.635243:0.216132:0.635243:0.000000
 para levantar la indeterminación dividimos numerador y:@0.253793:0.639609:0.632092:0.639609:0.632092:0.624710:0.253793:0.624710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador para la variable con exponente mayor en este caso para  .:@0.102301:0.665384:0.586621:0.665384:0.586621:0.650485:0.102301:0.650485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.572150:0.665384:0.578935:0.665384:0.578935:0.650510:0.572150:0.650510:0.000000
2:@0.578940:0.659886:0.583706:0.659886:0.583706:0.651200:0.578940:0.651200:0.000000
lim:@0.108575:0.703554:0.129124:0.703554:0.129124:0.688804:0.108575:0.688804:0.000000:0.000000:0.000000
lim:@0.190040:0.703554:0.210589:0.703554:0.210589:0.688804:0.190040:0.688804:0.000000:0.000000:0.000000
lim:@0.288306:0.703554:0.308854:0.703554:0.308854:0.688804:0.288306:0.688804:0.000000:0.000000:0.000000
x:@0.105607:0.709459:0.109500:0.709459:0.109500:0.700925:0.105607:0.700925:0.000000
x:@0.187076:0.709459:0.190968:0.709459:0.190968:0.700925:0.187076:0.700925:0.000000
x:@0.285355:0.709459:0.289248:0.709459:0.289248:0.700925:0.285355:0.700925:0.000000
x:@0.137268:0.695668:0.143985:0.695668:0.143985:0.680943:0.137268:0.680943:0.000000
x:@0.137119:0.713319:0.143836:0.713319:0.143836:0.698594:0.137119:0.698594:0.000000
x:@0.220052:0.681524:0.226769:0.681524:0.226769:0.666799:0.220052:0.666799:0.000000
x:@0.220052:0.698745:0.226769:0.698745:0.226769:0.684020:0.220052:0.684020:0.000000
x:@0.252193:0.698745:0.258910:0.698745:0.258910:0.684020:0.252193:0.684020:0.000000
x:@0.219903:0.713134:0.226620:0.713134:0.226620:0.698409:0.219903:0.698409:0.000000
x:@0.219911:0.730359:0.226628:0.730359:0.226628:0.715633:0.219911:0.715633:0.000000
x:@0.252335:0.730359:0.259052:0.730359:0.259052:0.715633:0.252335:0.715633:0.000000
x:@0.336287:0.698745:0.343004:0.698745:0.343004:0.684020:0.336287:0.684020:0.000000
x:@0.336429:0.728696:0.343146:0.728696:0.343146:0.713971:0.336429:0.713971:0.000000
→±∞:@0.110648:0.709243:0.132717:0.709243:0.132717:0.700406:0.110648:0.700406:0.000000:0.000000:0.000000
→±∞:@0.192107:0.709243:0.214176:0.709243:0.214176:0.700406:0.192107:0.700406:0.000000:0.000000:0.000000
→±∞:@0.290387:0.709243:0.312455:0.709243:0.312455:0.700406:0.290387:0.700406:0.000000:0.000000:0.000000
−:@0.154326:0.695295:0.163431:0.695295:0.163431:0.680047:0.154326:0.680047:0.000000
+:@0.154176:0.712945:0.163281:0.712945:0.163281:0.697697:0.154176:0.697697:0.000000
=:@0.174294:0.703187:0.183399:0.703187:0.183399:0.687939:0.174294:0.687939:0.000000
−:@0.238411:0.688835:0.247516:0.688835:0.247516:0.673587:0.238411:0.673587:0.000000
+:@0.238262:0.720451:0.247367:0.720451:0.247367:0.705203:0.238262:0.705203:0.000000
=:@0.272559:0.703199:0.281664:0.703199:0.281664:0.687951:0.272559:0.687951:0.000000
−:@0.322496:0.688847:0.331601:0.688847:0.331601:0.673599:0.322496:0.673599:0.000000
+:@0.322347:0.718795:0.331452:0.718795:0.331452:0.703548:0.322347:0.703548:0.000000
=:@0.356644:0.703199:0.365750:0.703199:0.365750:0.687951:0.356644:0.687951:0.000000
2:@0.145420:0.688773:0.150111:0.688773:0.150111:0.680224:0.145420:0.680224:0.000000
2:@0.145276:0.706417:0.149966:0.706417:0.149966:0.697869:0.145276:0.697869:0.000000
2:@0.228204:0.674628:0.232894:0.674628:0.232894:0.666080:0.228204:0.666080:0.000000
2:@0.228204:0.691849:0.232894:0.691849:0.232894:0.683301:0.228204:0.683301:0.000000
2:@0.260336:0.691849:0.265026:0.691849:0.265026:0.683301:0.260336:0.683301:0.000000
2:@0.228059:0.706241:0.232750:0.706241:0.232750:0.697692:0.228059:0.697692:0.000000
2:@0.228059:0.723460:0.232750:0.723460:0.232750:0.714912:0.228059:0.714912:0.000000
2:@0.260480:0.723460:0.265170:0.723460:0.265170:0.714912:0.260480:0.714912:0.000000
2:@0.344438:0.691849:0.349128:0.691849:0.349128:0.683301:0.344438:0.683301:0.000000
2:@0.344582:0.721801:0.349273:0.721801:0.349273:0.713252:0.344582:0.713252:0.000000
1:@0.164456:0.695668:0.172549:0.695668:0.172549:0.680918:0.164456:0.680918:0.000000
1:@0.164605:0.713319:0.172698:0.713319:0.172698:0.698569:0.164605:0.698569:0.000000
1:@0.255673:0.681524:0.263766:0.681524:0.263766:0.666774:0.255673:0.666774:0.000000
1:@0.255813:0.713137:0.263907:0.713137:0.263907:0.698387:0.255813:0.698387:0.000000
1:@0.314706:0.689201:0.322800:0.689201:0.322800:0.674451:0.314706:0.674451:0.000000
1:@0.339775:0.681524:0.347868:0.681524:0.347868:0.666774:0.339775:0.666774:0.000000
1:@0.314567:0.719149:0.322661:0.719149:0.322661:0.704398:0.314567:0.704398:0.000000
1:@0.339909:0.711481:0.348002:0.711481:0.348002:0.696731:0.339909:0.696731:0.000000
1 1:@0.368845:0.689197:0.376938:0.689197:0.376938:0.674447:0.368845:0.674447:0.000000:0.000000:0.000000
1:@0.395465:0.681524:0.403558:0.681524:0.403558:0.666774:0.395465:0.666774:0.000000
1:@0.368703:0.719149:0.376796:0.719149:0.376796:0.704398:0.368703:0.704398:0.000000
1:@0.395603:0.711481:0.403697:0.711481:0.403697:0.696731:0.395603:0.696731:0.000000
10:@0.426086:0.695673:0.453169:0.695673:0.453169:0.680923:0.426086:0.680923:0.000000:0.000000
10:@0.425937:0.713323:0.453302:0.713323:0.453302:0.698573:0.425937:0.698573:0.000000:0.000000
1 ;:@0.468444:0.703565:0.476791:0.703554:0.476791:0.688804:0.468444:0.688814:0.000000:0.000000:0.000000
2:@0.401685:0.691849:0.406375:0.691849:0.406375:0.683301:0.401685:0.683301:0.000000
2:@0.401829:0.721801:0.406520:0.721801:0.406520:0.713252:0.401829:0.713252:0.000000
−:@0.376667:0.688824:0.385772:0.688824:0.385772:0.673576:0.376667:0.673576:0.000000
∞:@0.389387:0.698371:0.401212:0.698371:0.401212:0.683123:0.389387:0.683123:0.000000
+:@0.376517:0.718772:0.385623:0.718772:0.385623:0.703524:0.376517:0.703524:0.000000
∞:@0.389529:0.728323:0.401354:0.728323:0.401354:0.713075:0.389529:0.713075:0.000000
=:@0.413934:0.703181:0.423039:0.703181:0.423039:0.687933:0.413934:0.687933:0.000000
−:@0.433919:0.695289:0.443024:0.695289:0.443024:0.680041:0.433919:0.680041:0.000000
+:@0.433770:0.712939:0.442875:0.712939:0.442875:0.697692:0.433770:0.697692:0.000000
=:@0.457751:0.703181:0.466856:0.703181:0.466856:0.687933:0.457751:0.687933:0.000000
 La asntota horizontal es y = 1.:@0.105324:0.745918:0.306880:0.745918:0.306880:0.731168:0.105324:0.731168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la asíntota horizontal es   = 1.:@0.482907:0.703529:0.678724:0.703529:0.678724:0.688630:0.482907:0.688630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.643511:0.703529:0.650312:0.703529:0.650312:0.688655:0.643511:0.688655:0.000000
–4:@0.529053:0.564415:0.541951:0.564415:0.541951:0.552929:0.529053:0.552929:0.000000:0.000000
–3:@0.529053:0.547980:0.541951:0.547980:0.541951:0.536494:0.529053:0.536494:0.000000:0.000000
–2:@0.529053:0.530751:0.541951:0.530751:0.541951:0.519265:0.529053:0.519265:0.000000:0.000000
–1:@0.529053:0.513522:0.541951:0.513522:0.541951:0.502037:0.529053:0.502037:0.000000:0.000000
1:@0.534553:0.480250:0.541085:0.480250:0.541085:0.468765:0.534553:0.468765:0.000000
2:@0.534553:0.463022:0.541085:0.463022:0.541085:0.451536:0.534553:0.451536:0.000000
3:@0.534553:0.446443:0.541085:0.446443:0.541085:0.434957:0.534553:0.434957:0.000000
–3 –2 –1 0:@0.469736:0.503843:0.541339:0.503843:0.541339:0.492357:0.469736:0.492357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.448486:0.503843:0.461384:0.503843:0.461384:0.492357:0.448486:0.492357:0.000000:0.000000
–5:@0.425671:0.503843:0.438568:0.503843:0.438568:0.492357:0.425671:0.492357:0.000000:0.000000
1:@0.564308:0.503843:0.570839:0.503843:0.570839:0.492357:0.564308:0.492357:0.000000
2:@0.586894:0.503843:0.593425:0.503843:0.593425:0.492357:0.586894:0.492357:0.000000
3:@0.609862:0.503843:0.616394:0.503843:0.616394:0.492357:0.609862:0.492357:0.000000
4:@0.632296:0.503843:0.638827:0.503843:0.638827:0.492357:0.632296:0.492357:0.000000
5:@0.652667:0.503843:0.659198:0.503843:0.659198:0.492357:0.652667:0.492357:0.000000
6:@0.675291:0.503843:0.681822:0.503843:0.681822:0.492357:0.675291:0.492357:0.000000
y:@0.534272:0.431837:0.539185:0.431837:0.539185:0.421779:0.534272:0.421779:0.000000
x:@0.696297:0.503090:0.701210:0.503090:0.701210:0.493032:0.696297:0.493032:0.000000
1:@0.535419:0.513522:0.541951:0.513522:0.541951:0.502036:0.535419:0.502036:0.000000
y:@0.579756:0.472859:0.584669:0.472859:0.584669:0.462801:0.579756:0.462801:0.000000
 = 1:@0.584669:0.472859:0.601747:0.472859:0.601747:0.462809:0.584669:0.462809:0.000000:0.000000:0.000000:0.000000
x:@0.197723:0.467233:0.205630:0.467233:0.205630:0.451869:0.197723:0.451869:0.000000
f(x):@0.285070:0.467233:0.308221:0.467233:0.308221:0.451869:0.285070:0.451869:0.000000:0.000000:0.000000:0.000000
–3,000:@0.179680:0.487099:0.223672:0.487099:0.223672:0.472200:0.179680:0.472200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,000:@0.179680:0.502186:0.223672:0.502186:0.223672:0.487287:0.179680:0.487287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,000:@0.179680:0.517274:0.223672:0.517274:0.223672:0.502375:0.179680:0.502375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000:@0.183868:0.532361:0.219484:0.532361:0.219484:0.517462:0.183868:0.517462:0.000000:0.000000:0.000000:0.000000:0.000000
1,000:@0.183868:0.547449:0.219484:0.547449:0.219484:0.532550:0.183868:0.532550:0.000000:0.000000:0.000000:0.000000:0.000000
2,000:@0.183868:0.562537:0.219484:0.562537:0.219484:0.547638:0.183868:0.547638:0.000000:0.000000:0.000000:0.000000:0.000000
3,000:@0.183868:0.577624:0.219484:0.577624:0.219484:0.562725:0.183868:0.562725:0.000000:0.000000:0.000000:0.000000:0.000000
0,800:@0.278838:0.487099:0.314453:0.487099:0.314453:0.472200:0.278838:0.472200:0.000000:0.000000:0.000000:0.000000:0.000000
0,600:@0.278838:0.502186:0.314453:0.502186:0.314453:0.487287:0.278838:0.487287:0.000000:0.000000:0.000000:0.000000:0.000000
0,000:@0.278838:0.517274:0.314453:0.517274:0.314453:0.502375:0.278838:0.502375:0.000000:0.000000:0.000000:0.000000:0.000000
–1,000:@0.274650:0.532361:0.318641:0.532361:0.318641:0.517462:0.274650:0.517462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000:@0.278838:0.547449:0.314453:0.547449:0.314453:0.532550:0.278838:0.532550:0.000000:0.000000:0.000000:0.000000:0.000000
0,600:@0.278838:0.562537:0.314453:0.562537:0.314453:0.547638:0.278838:0.547638:0.000000:0.000000:0.000000:0.000000:0.000000
0,800:@0.278838:0.577624:0.314453:0.577624:0.314453:0.562725:0.278838:0.562725:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.759204:0.234083:0.779753:0.234083:0.779753:0.219333:0.759204:0.219333:0.000000:0.000000:0.000000
x:@0.758921:0.239989:0.762814:0.239989:0.762814:0.231455:0.758921:0.231455:0.000000
r:@0.793222:0.236948:0.795980:0.236948:0.795980:0.228414:0.793222:0.228414:0.000000
r:@0.828650:0.236948:0.831409:0.236948:0.831409:0.228414:0.828650:0.228414:0.000000
x:@0.785070:0.243843:0.791787:0.243843:0.791787:0.229118:0.785070:0.229118:0.000000
→∞:@0.763962:0.239773:0.780667:0.239773:0.780667:0.230936:0.763962:0.230936:0.000000:0.000000
=:@0.803069:0.233710:0.812174:0.233710:0.812174:0.218462:0.803069:0.218462:0.000000
∞:@0.816355:0.243470:0.828180:0.243470:0.828180:0.228222:0.816355:0.228222:0.000000
=:@0.838500:0.233710:0.847605:0.233710:0.847605:0.218462:0.838500:0.218462:0.000000
1:@0.788082:0.226191:0.796176:0.226191:0.796176:0.211441:0.788082:0.211441:0.000000
1:@0.821965:0.226191:0.830058:0.226191:0.830058:0.211441:0.821965:0.211441:0.000000
0:@0.850226:0.234083:0.858319:0.234083:0.858319:0.219333:0.850226:0.219333:0.000000
lim:@0.761890:0.273286:0.782438:0.273286:0.782438:0.258536:0.761890:0.258536:0.000000:0.000000:0.000000
x:@0.758921:0.279190:0.762814:0.279190:0.762814:0.270657:0.758921:0.270657:0.000000
r:@0.798589:0.276146:0.801347:0.276146:0.801347:0.267612:0.798589:0.267612:0.000000
r:@0.856019:0.275966:0.858777:0.275966:0.858777:0.267432:0.856019:0.267432:0.000000
x:@0.790441:0.283045:0.797158:0.283045:0.797158:0.268320:0.790441:0.268320:0.000000
→−∞:@0.763962:0.278974:0.786031:0.278974:0.786031:0.270137:0.763962:0.270137:0.000000:0.000000:0.000000
=:@0.808440:0.272912:0.817545:0.272912:0.817545:0.257664:0.808440:0.257664:0.000000
−∞:@0.828375:0.284227:0.849238:0.284227:0.849238:0.268979:0.828375:0.268979:0.000000:0.000000
(:@0.821491:0.285801:0.827014:0.285801:0.827014:0.266315:0.821491:0.266315:0.000000
):@0.850465:0.285801:0.855988:0.285801:0.855988:0.266315:0.850465:0.266315:0.000000
=:@0.865875:0.272912:0.874980:0.272912:0.874980:0.257664:0.865875:0.257664:0.000000
1:@0.793466:0.265394:0.801559:0.265394:0.801559:0.250644:0.793466:0.250644:0.000000
1:@0.838328:0.265394:0.846421:0.265394:0.846421:0.250644:0.838328:0.250644:0.000000
0:@0.877617:0.273286:0.885711:0.273286:0.885711:0.258536:0.877617:0.258536:0.000000
nidad de conocimientos:@0.117254:0.090870:0.290924:0.090870:0.290924:0.075506:0.117254:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.095418:0.091656:0.107985:0.091656:0.107985:0.074520:0.095418:0.074520:0.000000
Definición de límites al infinito:@0.098021:0.121998:0.406850:0.121998:0.406850:0.100489:0.098021:0.100489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una función denida sobre algún intervalo de (-∞,  ) o de ( , ∞). Entonces :@0.098021:0.144779:0.680073:0.144779:0.680073:0.128391:0.098021:0.128391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.128003:0.144779:0.132702:0.144779:0.132702:0.128418:0.128003:0.128418:0.000000
 :@0.252498:0.144779:0.256534:0.144779:0.256534:0.128391:0.252498:0.128391:0.000000
a:@0.506595:0.144779:0.515864:0.144779:0.515864:0.128418:0.506595:0.128418:0.000000
a:@0.566503:0.144779:0.575773:0.144779:0.575773:0.128418:0.566503:0.128418:0.000000
lim( ):@0.250630:0.166722:0.307498:0.166722:0.307498:0.150333:0.250630:0.150333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim ():@0.357529:0.166722:0.411430:0.166722:0.411430:0.150333:0.357529:0.150333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.247333:0.173283:0.251659:0.173283:0.251659:0.163801:0.247333:0.163801:0.000000
x:@0.357216:0.173283:0.361541:0.173283:0.361541:0.163801:0.357216:0.163801:0.000000
fx:@0.279476:0.166722:0.300815:0.166722:0.300815:0.150361:0.279476:0.150361:0.000000:0.000000
L:@0.323500:0.166722:0.331129:0.166722:0.331129:0.150361:0.323500:0.150361:0.000000
f x:@0.383389:0.166722:0.404729:0.166722:0.404729:0.150361:0.383389:0.150361:0.000000:0.000000:0.000000
L:@0.427413:0.166722:0.435042:0.166722:0.435042:0.150361:0.427413:0.150361:0.000000
→−∞:@0.252934:0.173043:0.277454:0.173043:0.277454:0.163224:0.252934:0.163224:0.000000:0.000000:0.000000
→∞:@0.362817:0.173043:0.381367:0.173043:0.381367:0.163224:0.362817:0.163224:0.000000:0.000000
=:@0.310468:0.166307:0.320585:0.166307:0.320585:0.149365:0.310468:0.149365:0.000000
=:@0.414381:0.166307:0.424498:0.166307:0.424498:0.149365:0.414381:0.149365:0.000000
  o:@0.331881:0.166722:0.349756:0.166722:0.349756:0.150333:0.331881:0.150333:0.000000:0.000000:0.000000
respectivamente.:@0.439830:0.166722:0.568520:0.167346:0.568520:0.150957:0.439830:0.150333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Signica que los valores de f(x) pueden aproximarse a   tanto como   sea suciente-:@0.098026:0.194633:0.714244:0.194633:0.714244:0.178244:0.098026:0.178244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.138493:0.194633:0.142529:0.194633:0.142529:0.178244:0.138493:0.178244:0.000000
L:@0.495049:0.194633:0.502678:0.194633:0.502678:0.178271:0.495049:0.178271:0.000000
x:@0.597358:0.194633:0.604821:0.194633:0.604821:0.178271:0.597358:0.178271:0.000000
 :@0.658407:0.194633:0.662442:0.194633:0.662442:0.178244:0.658407:0.178244:0.000000
mente pequeño o grande en magnitud.:@0.098026:0.211229:0.390835:0.211229:0.390835:0.194840:0.098026:0.194840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición de asíntota horizontal:@0.098021:0.240342:0.381769:0.240342:0.381769:0.221905:0.098021:0.221905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La recta   =   se llama asíntota horizontal de la curva   =  ( ) si y solo sí::@0.098021:0.263752:0.613381:0.263752:0.613381:0.247363:0.098021:0.247363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.159367:0.263752:0.166848:0.263752:0.166848:0.247390:0.159367:0.247390:0.000000
L:@0.185903:0.263752:0.193532:0.263752:0.193532:0.247390:0.185903:0.247390:0.000000
y:@0.485623:0.263752:0.493104:0.263752:0.493104:0.247390:0.485623:0.247390:0.000000
f x:@0.512158:0.263752:0.529204:0.263752:0.529204:0.247390:0.512158:0.247390:0.000000:0.000000:0.000000
lim( ):@0.315891:0.283916:0.372759:0.283916:0.372759:0.267527:0.315891:0.267527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim ():@0.422790:0.283916:0.476691:0.283916:0.476691:0.267527:0.422790:0.267527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312594:0.290474:0.316919:0.290474:0.316919:0.280992:0.312594:0.280992:0.000000
x:@0.422477:0.290474:0.426802:0.290474:0.426802:0.280992:0.422477:0.280992:0.000000
fx:@0.344738:0.283912:0.366078:0.283912:0.366078:0.267551:0.344738:0.267551:0.000000:0.000000
L:@0.388765:0.283912:0.396394:0.283912:0.396394:0.267551:0.388765:0.267551:0.000000
f x:@0.448655:0.283912:0.469994:0.283912:0.469994:0.267551:0.448655:0.267551:0.000000:0.000000:0.000000
L:@0.492679:0.283912:0.500308:0.283912:0.500308:0.267551:0.492679:0.267551:0.000000
→−∞:@0.318196:0.290233:0.342720:0.290233:0.342720:0.280415:0.318196:0.280415:0.000000:0.000000:0.000000
→∞:@0.428083:0.290233:0.446637:0.290233:0.446637:0.280415:0.428083:0.280415:0.000000:0.000000
=:@0.375730:0.283497:0.385847:0.283497:0.385847:0.266555:0.375730:0.266555:0.000000
=:@0.479644:0.283497:0.489761:0.283497:0.489761:0.266555:0.479644:0.266555:0.000000
  o :@0.397142:0.283912:0.419034:0.283912:0.419034:0.267523:0.397142:0.267523:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117254:0.321453:0.242124:0.321453:0.242124:0.306089:0.117254:0.306089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.095657:0.322237:0.107746:0.322237:0.107746:0.305102:0.095657:0.305102:0.000000
Ejemplos paso a paso:@0.095884:0.347551:0.250777:0.347551:0.250777:0.332186:0.095884:0.332186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.095884:0.374095:0.110110:0.374095:0.110110:0.357194:0.095884:0.357194:0.000000:0.000000
  Determinemos las asíntotas horizontales de la función:  ():@0.110110:0.374095:0.558698:0.374520:0.558698:0.358131:0.110110:0.357706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.530668:0.374520:0.552007:0.374520:0.552007:0.358159:0.530668:0.358159:0.000000:0.000000
x:@0.577732:0.365751:0.585196:0.365751:0.585196:0.349390:0.577732:0.349390:0.000000
x:@0.577575:0.385364:0.585038:0.385364:0.585038:0.369003:0.577575:0.369003:0.000000
=:@0.561665:0.374105:0.571782:0.374105:0.571782:0.357163:0.561665:0.357163:0.000000
−:@0.596696:0.365336:0.606813:0.365336:0.606813:0.348394:0.596696:0.348394:0.000000
+:@0.596527:0.384949:0.606644:0.384949:0.606644:0.368007:0.596527:0.368007:0.000000
2:@0.586789:0.358097:0.592000:0.358097:0.592000:0.348599:0.586789:0.348599:0.000000
2:@0.586629:0.377702:0.591840:0.377702:0.591840:0.368204:0.586629:0.368204:0.000000
1:@0.607939:0.365758:0.616931:0.365758:0.616931:0.349369:0.607939:0.349369:0.000000
1:@0.608096:0.385364:0.617089:0.385364:0.617089:0.368975:0.608096:0.368975:0.000000
lim:@0.385844:0.821720:0.407762:0.821720:0.407762:0.805331:0.385844:0.805331:0.000000:0.000000:0.000000
lim:@0.385844:0.874511:0.407762:0.874511:0.407762:0.858122:0.385844:0.858122:0.000000:0.000000:0.000000
lim:@0.468919:0.874511:0.490837:0.874511:0.490837:0.858122:0.468919:0.858122:0.000000:0.000000:0.000000
x:@0.382678:0.828262:0.386830:0.828262:0.386830:0.818780:0.382678:0.818780:0.000000
x:@0.382678:0.881075:0.386830:0.881075:0.386830:0.871592:0.382678:0.871592:0.000000
x:@0.465753:0.881075:0.469906:0.881075:0.469906:0.871592:0.465753:0.871592:0.000000
x:@0.431678:0.812948:0.438843:0.812948:0.438843:0.796587:0.431678:0.796587:0.000000
x:@0.439020:0.832560:0.446185:0.832560:0.446185:0.816198:0.439020:0.816198:0.000000
x:@0.431678:0.865766:0.438843:0.865766:0.438843:0.849405:0.431678:0.849405:0.000000
x:@0.439020:0.885378:0.446185:0.885378:0.446185:0.869016:0.439020:0.869016:0.000000
x:@0.518433:0.850041:0.525597:0.850041:0.525597:0.833680:0.518433:0.833680:0.000000
x:@0.514417:0.869182:0.521582:0.869182:0.521582:0.852821:0.514417:0.852821:0.000000
→±∞:@0.388055:0.828021:0.411595:0.828021:0.411595:0.818203:0.388055:0.818203:0.000000:0.000000:0.000000
→±:@0.388055:0.880834:0.404336:0.880834:0.404336:0.871015:0.388055:0.871015:0.000000:0.000000
∞:@0.404285:0.880834:0.344749:0.880834:0.344749:0.871015:0.404285:0.871015:0.000000
→:@0.471131:0.880834:0.411595:0.880834:0.411595:0.871015:0.471131:0.871015:0.000000
±∞:@0.481783:0.880834:0.494670:0.880834:0.494670:0.871015:0.481783:0.871015:0.000000:0.000000
−:@0.425748:0.832140:0.435460:0.832140:0.435460:0.815197:0.425748:0.815197:0.000000
=:@0.452125:0.821310:0.461837:0.821310:0.461837:0.804368:0.452125:0.804368:0.000000
∞:@0.481668:0.812542:0.494281:0.812542:0.494281:0.795600:0.481668:0.795600:0.000000
−∞:@0.476838:0.832153:0.501623:0.832153:0.501623:0.815211:0.476838:0.815211:0.000000:0.000000
=:@0.506558:0.821324:0.516270:0.821324:0.516270:0.804382:0.506558:0.804382:0.000000
∞:@0.520728:0.812556:0.533342:0.812556:0.533342:0.795614:0.520728:0.795614:0.000000
∞:@0.520728:0.832167:0.533342:0.832167:0.533342:0.815225:0.520728:0.815225:0.000000
−:@0.425748:0.884985:0.435460:0.884985:0.435460:0.868043:0.425748:0.868043:0.000000
=:@0.452125:0.874115:0.461837:0.874115:0.461837:0.857172:0.452125:0.857172:0.000000
2:@0.422281:0.812971:0.430914:0.812971:0.430914:0.796582:0.422281:0.796582:0.000000
3:@0.414939:0.832582:0.423572:0.832582:0.423572:0.816193:0.414939:0.816193:0.000000
2:@0.473389:0.812971:0.482022:0.812971:0.482022:0.796582:0.473389:0.796582:0.000000
3:@0.466047:0.832582:0.474680:0.832582:0.474680:0.816193:0.466047:0.816193:0.000000
2:@0.422281:0.865789:0.430914:0.865789:0.430914:0.849400:0.422281:0.849400:0.000000
3:@0.414939:0.885400:0.423572:0.885400:0.423572:0.869011:0.414939:0.869011:0.000000
2:@0.509000:0.850064:0.517632:0.850064:0.517632:0.833675:0.509000:0.833675:0.000000
; indeterminado:@0.537304:0.821739:0.648896:0.821739:0.648896:0.805350:0.537304:0.805350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 3:@0.500217:0.883318:0.508850:0.883318:0.508850:0.866929:0.500217:0.866929:0.000000:0.000000:0.000000
2:@0.600187:0.865754:0.608819:0.865754:0.608819:0.849365:0.600187:0.849365:0.000000
3:@0.590581:0.883318:0.599214:0.883318:0.599214:0.866929:0.590581:0.866929:0.000000
1:@0.614445:0.891851:0.623078:0.891851:0.623078:0.875462:0.614445:0.875462:0.000000
2:@0.649985:0.865754:0.658618:0.865754:0.658618:0.849365:0.649985:0.849365:0.000000
01:@0.640132:0.885337:0.670931:0.885337:0.670931:0.868948:0.640132:0.868948:0.000000:0.000000
2;:@0.695362:0.874508:0.706738:0.874507:0.706738:0.858118:0.695362:0.858119:0.000000:0.000000
x:@0.500766:0.902459:0.507931:0.902459:0.507931:0.886098:0.500766:0.886098:0.000000
x:@0.527956:0.883318:0.535121:0.883318:0.535121:0.866957:0.527956:0.866957:0.000000
x:@0.527956:0.902459:0.535121:0.902459:0.535121:0.886098:0.527956:0.886098:0.000000
x:@0.591129:0.902459:0.598294:0.902459:0.598294:0.886098:0.591129:0.886098:0.000000
x:@0.556115:0.881078:0.560267:0.881078:0.560267:0.871596:0.556115:0.871596:0.000000
−:@0.513284:0.891439:0.522996:0.891439:0.522996:0.874497:0.513284:0.874497:0.000000
=:@0.542491:0.874096:0.552203:0.874096:0.552203:0.857154:0.542491:0.857154:0.000000
−:@0.603647:0.891439:0.613360:0.891439:0.613360:0.874497:0.603647:0.874497:0.000000
=:@0.624805:0.874096:0.634517:0.874096:0.634517:0.857154:0.624805:0.857154:0.000000
−:@0.651500:0.884925:0.661212:0.884925:0.661212:0.867983:0.651500:0.867983:0.000000
= −:@0.672658:0.874096:0.695440:0.874096:0.695440:0.857154:0.672658:0.857154:0.000000:0.000000:0.000000
→±∞:@0.561493:0.880838:0.585032:0.880838:0.585032:0.871019:0.561493:0.871019:0.000000:0.000000:0.000000
lim:@0.559270:0.874507:0.581206:0.874507:0.581206:0.858118:0.559270:0.858118:0.000000:0.000000:0.000000
lim:@0.129430:0.823074:0.152262:0.823074:0.152262:0.806686:0.129430:0.806686:0.000000:0.000000:0.000000
():@0.222231:0.814306:0.241304:0.814306:0.241304:0.797917:0.222231:0.797917:0.000000:0.000000
;  :@0.314370:0.823074:0.328140:0.823081:0.328140:0.806692:0.314370:0.806686:0.000000:0.000000:0.000000
lim:@0.129467:0.860167:0.152299:0.860167:0.152299:0.843778:0.129467:0.843778:0.000000:0.000000:0.000000
():@0.222379:0.851399:0.241451:0.851399:0.241451:0.835010:0.222379:0.835010:0.000000:0.000000
x:@0.127651:0.830461:0.131976:0.830461:0.131976:0.820979:0.127651:0.820979:0.000000
x:@0.127651:0.867548:0.131976:0.867548:0.131976:0.858066:0.127651:0.858066:0.000000
x:@0.175656:0.814312:0.183120:0.814312:0.183120:0.797951:0.175656:0.797951:0.000000
x:@0.183304:0.833924:0.190767:0.833924:0.190767:0.817562:0.183304:0.817562:0.000000
x:@0.175822:0.851405:0.183285:0.851405:0.183285:0.835044:0.175822:0.835044:0.000000
x:@0.183470:0.871017:0.190933:0.871017:0.190933:0.854655:0.183470:0.854655:0.000000
→:@0.133251:0.830220:0.143792:0.830220:0.143792:0.820402:0.133251:0.820402:0.000000
→:@0.133251:0.867307:0.143792:0.867307:0.143792:0.857488:0.133251:0.857488:0.000000
−:@0.149271:0.826152:0.153496:0.826152:0.153496:0.819077:0.149271:0.819077:0.000000
+:@0.149271:0.863243:0.153496:0.863243:0.153496:0.856168:0.149271:0.856168:0.000000
−:@0.169478:0.833504:0.179595:0.833504:0.179595:0.816562:0.169478:0.816562:0.000000
=:@0.196954:0.822661:0.207071:0.822661:0.207071:0.805719:0.196954:0.805719:0.000000
−:@0.222716:0.833504:0.232832:0.833504:0.232832:0.816562:0.222716:0.816562:0.000000
=:@0.248477:0.822661:0.258594:0.822661:0.258594:0.805719:0.248477:0.805719:0.000000
= +∞:@0.277169:0.822661:0.313951:0.822661:0.313951:0.805719:0.277169:0.805719:0.000000:0.000000:0.000000:0.000000
−:@0.169626:0.870597:0.179742:0.870597:0.179742:0.853655:0.169626:0.853655:0.000000
=:@0.197101:0.859754:0.207218:0.859754:0.207218:0.842812:0.197101:0.842812:0.000000
−:@0.222863:0.870597:0.232980:0.870597:0.232980:0.853655:0.222863:0.853655:0.000000
=:@0.248625:0.859754:0.258742:0.859754:0.258742:0.842812:0.248625:0.842812:0.000000
= −∞:@0.277317:0.859754:0.314098:0.859754:0.314098:0.842812:0.277317:0.842812:0.000000:0.000000:0.000000:0.000000
3:@0.144036:0.830461:0.149248:0.830461:0.149248:0.820963:0.144036:0.820963:0.000000
3:@0.144036:0.867548:0.149248:0.867548:0.149248:0.858049:0.144036:0.858049:0.000000
2:@0.165866:0.814312:0.174859:0.814312:0.174859:0.797923:0.165866:0.797923:0.000000
3:@0.158219:0.833924:0.167212:0.833924:0.167212:0.817535:0.158219:0.817535:0.000000
32:@0.214184:0.814312:0.236481:0.814312:0.236481:0.797923:0.214184:0.797923:0.000000:0.000000
33:@0.211456:0.833924:0.244110:0.833924:0.244110:0.817535:0.211456:0.817535:0.000000:0.000000
6:@0.263238:0.814312:0.272231:0.814312:0.272231:0.797923:0.263238:0.797923:0.000000
0:@0.263127:0.833924:0.272120:0.833924:0.272120:0.817535:0.263127:0.817535:0.000000
2:@0.166014:0.851405:0.175006:0.851405:0.175006:0.835016:0.166014:0.835016:0.000000
3:@0.158366:0.871017:0.167359:0.871017:0.167359:0.854628:0.158366:0.854628:0.000000
32:@0.214331:0.851405:0.236628:0.851405:0.236628:0.835016:0.214331:0.835016:0.000000:0.000000
33:@0.211604:0.871017:0.244257:0.871017:0.244257:0.854628:0.211604:0.854628:0.000000:0.000000
6:@0.263385:0.851405:0.272378:0.851405:0.272378:0.835016:0.263385:0.835016:0.000000
0:@0.263275:0.871017:0.272267:0.871017:0.272267:0.854628:0.263275:0.854628:0.000000
x =  3 es asntota vertical.:@0.127058:0.888498:0.305013:0.888498:0.305013:0.872109:0.127058:0.872109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota vertical.:@0.187060:0.888727:0.305603:0.888727:0.305603:0.872338:0.187060:0.872338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntota horizontal y = –2:@0.386392:0.922625:0.574536:0.922625:0.574536:0.906236:0.386392:0.906236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la actualidad existen :@0.754711:0.642348:0.914392:0.642348:0.914392:0.627449:0.754711:0.627449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinidad de calculadoras :@0.754711:0.656178:0.924614:0.656178:0.924614:0.641279:0.754711:0.641279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
online gratuitas que te :@0.754711:0.670008:0.908864:0.670008:0.908864:0.655109:0.754711:0.655109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten analizar el tipo :@0.754711:0.683838:0.920274:0.683838:0.920274:0.668939:0.754711:0.668939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de asíntotas que tiene :@0.754711:0.697669:0.905984:0.697669:0.905984:0.682770:0.754711:0.682770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función.:@0.754711:0.711499:0.837904:0.711499:0.837904:0.696600:0.754711:0.696600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para que puedas practicar :@0.754711:0.728888:0.922852:0.728888:0.922852:0.714014:0.754711:0.714014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes ingresar al siguiente :@0.754711:0.742718:0.932518:0.742718:0.932518:0.727844:0.754711:0.727844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.754711:0.756548:0.799256:0.756548:0.799256:0.741674:0.754711:0.741674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13mtc05:@0.754711:0.773937:0.865125:0.773937:0.865125:0.758811:0.754711:0.758811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.609907:0.856955:0.609907:0.856955:0.593006:0.806485:0.593006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000