:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Los números pares :@0.112441:0.192000:0.247832:0.192000:0.247832:0.177101:0.112441:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forman una serie?,:@0.122576:0.205830:0.244163:0.205830:0.244163:0.190931:0.122576:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿por qué?:@0.178529:0.219661:0.244165:0.219661:0.244165:0.204762:0.178529:0.204762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.305468:0.068421:0.262642:0.056510:0.262642:0.056510:0.305468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.353737:0.480398:0.353737:0.480398:0.338372:0.306727:0.338372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.354522:0.297460:0.354522:0.297460:0.337387:0.284892:0.337387:0.000000
Definición de sucesión:@0.287495:0.384865:0.515108:0.384865:0.515108:0.363355:0.287495:0.363355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión :@0.287495:0.407647:0.390156:0.407647:0.390156:0.391258:0.287495:0.391258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.400601:0.407760:0.409870:0.407760:0.409870:0.391399:0.400601:0.391399:0.000000
a aa:@0.470552:0.407760:0.529244:0.407760:0.529244:0.391399:0.470552:0.391399:0.000000:0.000000:0.000000:0.000000
n n:@0.409553:0.409764:0.429930:0.411535:0.429930:0.402053:0.409553:0.400282:0.000000:0.000000:0.000000
( ):@0.393272:0.409095:0.424230:0.409095:0.424230:0.387443:0.393272:0.387443:0.000000:0.000000:0.000000
=:@0.449917:0.407345:0.460033:0.407345:0.460033:0.390403:0.449917:0.390403:0.000000
{:@0.462062:0.409147:0.470907:0.409147:0.470907:0.387207:0.462062:0.387207:0.000000
∈:@0.429186:0.411291:0.436800:0.411291:0.436800:0.401473:0.429186:0.401473:0.000000
:@0.436405:0.412037:0.444116:0.412037:0.444116:0.402330:0.436405:0.402330:0.000000
1:@0.478654:0.409761:0.483865:0.409761:0.483865:0.400262:0.478654:0.400262:0.000000
2:@0.502950:0.409761:0.508162:0.409761:0.508162:0.400262:0.502950:0.400262:0.000000
3:@0.528752:0.409761:0.533964:0.409761:0.533964:0.400262:0.528752:0.400262:0.000000
,:@0.484417:0.407760:0.487623:0.407760:0.487623:0.391371:0.484417:0.391371:0.000000
,:@0.510234:0.407760:0.513440:0.407760:0.513440:0.391371:0.510234:0.391371:0.000000
,...}:@0.536051:0.407760:0.554865:0.407760:0.554865:0.391371:0.536051:0.391371:0.000000:0.000000:0.000000:0.000000:0.000000
 es una función o aplicación de números natu-:@0.558283:0.407647:0.903580:0.407647:0.903580:0.391258:0.558283:0.391258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rales   en los reales  . Toda sucesión :@0.287489:0.424244:0.562511:0.424244:0.562511:0.407855:0.287489:0.407855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.435635:0.425417:0.448940:0.425417:0.448940:0.408668:0.435635:0.408668:0.000000
a:@0.571790:0.424183:0.581059:0.424183:0.581059:0.407822:0.571790:0.407822:0.000000
n:@0.580741:0.426187:0.586252:0.426187:0.586252:0.416705:0.580741:0.416705:0.000000
( ):@0.564461:0.425518:0.595420:0.425518:0.595420:0.403866:0.564461:0.403866:0.000000:0.000000:0.000000
,  se representa por su término general  .:@0.597023:0.424183:0.900459:0.424272:0.900459:0.407884:0.597023:0.407794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.881286:0.424272:0.890555:0.424272:0.890555:0.407911:0.881286:0.407911:0.000000
n:@0.890238:0.426276:0.895749:0.426276:0.895749:0.416794:0.890238:0.416794:0.000000
f:@0.533927:0.460541:0.538626:0.460541:0.538626:0.444179:0.533927:0.444179:0.000000
n:@0.560094:0.470913:0.569602:0.470913:0.569602:0.454552:0.560094:0.454552:0.000000
a n:@0.593337:0.470913:0.621124:0.470913:0.621124:0.454552:0.593337:0.454552:0.000000:0.000000:0.000000
a:@0.644380:0.470913:0.653649:0.470913:0.653649:0.454552:0.644380:0.454552:0.000000
n:@0.653339:0.472917:0.658850:0.472917:0.658850:0.463435:0.653339:0.463435:0.000000
::@0.544082:0.460541:0.547288:0.460541:0.547288:0.444152:0.544082:0.444152:0.000000
:@0.560409:0.449905:0.573713:0.449905:0.573713:0.433157:0.560409:0.433157:0.000000
:@0.598572:0.449905:0.611877:0.449905:0.611877:0.433157:0.598572:0.433157:0.000000
→:@0.577159:0.448619:0.595348:0.448619:0.595348:0.431677:0.577159:0.431677:0.000000
→:@0.572239:0.470498:0.590427:0.470498:0.590427:0.453556:0.572239:0.453556:0.000000
():@0.604287:0.472248:0.627911:0.472248:0.627911:0.450596:0.604287:0.450596:0.000000:0.000000
=:@0.631090:0.470498:0.641207:0.470498:0.641207:0.453556:0.631090:0.453556:0.000000
 :@0.550783:0.449877:0.559886:0.452159:0.559886:0.435217:0.550783:0.432935:0.000000:0.000000:0.000000
:@0.550783:0.462491:0.559886:0.462491:0.559886:0.445548:0.550783:0.445548:0.000000
 :@0.550783:0.475134:0.559886:0.473091:0.559886:0.456149:0.550783:0.458192:0.000000:0.000000:0.000000
Límite de una sucesión:@0.287495:0.496038:0.485145:0.496038:0.485145:0.477601:0.287495:0.477601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión :@0.287495:0.519448:0.389566:0.519448:0.389566:0.503059:0.287495:0.503059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.399668:0.519299:0.408937:0.519299:0.408937:0.502938:0.399668:0.502938:0.000000
n:@0.408620:0.521303:0.414131:0.521303:0.414131:0.511821:0.408620:0.511821:0.000000
{}:@0.391186:0.520633:0.424006:0.520633:0.424006:0.498981:0.391186:0.498981:0.000000:0.000000
 es convergente si existe un único número real L tal que: :@0.426420:0.519448:0.841460:0.519448:0.841460:0.503059:0.426420:0.503059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.291474:0.535985:0.314306:0.535985:0.314306:0.519596:0.291474:0.519596:0.000000:0.000000:0.000000
x:@0.291159:0.542546:0.295484:0.542546:0.295484:0.533064:0.291159:0.533064:0.000000
n:@0.333616:0.537989:0.339127:0.537989:0.339127:0.528507:0.333616:0.528507:0.000000
a:@0.324664:0.535985:0.333933:0.535985:0.333933:0.519624:0.324664:0.519624:0.000000
L:@0.364505:0.535985:0.372134:0.535985:0.372134:0.519624:0.364505:0.519624:0.000000
→∞:@0.296761:0.542306:0.315322:0.542306:0.315322:0.532487:0.296761:0.532487:0.000000:0.000000
( ):@0.317335:0.537319:0.348293:0.537319:0.348293:0.515667:0.317335:0.515667:0.000000:0.000000:0.000000
=:@0.351468:0.535570:0.361585:0.535570:0.361585:0.518628:0.351468:0.518628:0.000000
, si no existe el límite se dice que la sucesión es divergente.:@0.376283:0.536044:0.804998:0.536044:0.804998:0.519655:0.376283:0.519655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pienso y progreso:@0.294883:0.295144:0.417347:0.295144:0.417347:0.279780:0.294883:0.279780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Consideras que si aumenta el número de libros que se van a imprimir, el costo disminuye?:@0.294883:0.312539:0.896492:0.312539:0.896492:0.297640:0.294883:0.297640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una imprenta produce lotes de libros. El costo total para imprimir n unidades está :@0.287495:0.168345:0.907584:0.168345:0.907584:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado por la expresión::@0.287495:0.184941:0.450302:0.184941:0.450302:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.543635:0.202200:0.553549:0.202200:0.553549:0.185839:0.543635:0.185839:0.000000
n:@0.638021:0.202200:0.647530:0.202200:0.647530:0.185839:0.638021:0.185839:0.000000
n:@0.554262:0.204204:0.559773:0.204204:0.559773:0.194722:0.554262:0.194722:0.000000
=:@0.565099:0.201785:0.575216:0.201785:0.575216:0.184843:0.565099:0.184843:0.000000
+:@0.616660:0.201785:0.626777:0.201785:0.626777:0.184843:0.616660:0.184843:0.000000
5000 2:@0.578134:0.202200:0.638374:0.202200:0.638374:0.185811:0.578134:0.185811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Siendo: $5 000 costos jos y $2 es el costo variable por unidad.:@0.287494:0.225256:0.744694:0.225256:0.744694:0.208867:0.287494:0.208867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.454463:0.225256:0.458499:0.225256:0.458499:0.208867:0.454463:0.208867:0.000000
Se requiere saber, ¿cómo se comporta el costo promedio por unidad a medida que :@0.287494:0.248975:0.907637:0.248975:0.907637:0.232586:0.287494:0.232586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se imprimen más libros?:@0.287494:0.265571:0.465040:0.265571:0.465040:0.249182:0.287494:0.249182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límites de sucesiones convergentes. :@0.286308:0.060073:0.829481:0.060073:0.829481:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones:@0.286308:0.090250:0.472279:0.090250:0.472279:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
cción y expresión:@0.306727:0.573994:0.431598:0.573994:0.431598:0.558630:0.306727:0.558630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.574780:0.297220:0.574780:0.297220:0.557644:0.285132:0.557644:0.000000
Ejemplos paso a paso:@0.285358:0.600093:0.440250:0.600093:0.440250:0.584729:0.285358:0.584729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos los elementos de la siguiente sucesión, su gráca y el cálculo del límite.:@0.285358:0.617004:0.866816:0.617004:0.866816:0.600615:0.285358:0.600615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.685322:0.617004:0.689358:0.617004:0.689358:0.600615:0.685322:0.600615:0.000000
Paso 1. :@0.294156:0.646510:0.349791:0.646510:0.349791:0.630932:0.294156:0.630932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la sucesión :@0.349791:0.646510:0.453924:0.646510:0.453924:0.631611:0.349791:0.631611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.454539:0.646756:0.462881:0.646756:0.462881:0.632030:0.454539:0.632030:0.000000
n:@0.500047:0.638864:0.508605:0.638864:0.508605:0.624139:0.500047:0.624139:0.000000
n:@0.485635:0.656514:0.494193:0.656514:0.494193:0.641789:0.485635:0.641789:0.000000
n:@0.462595:0.648559:0.467555:0.648559:0.467555:0.640025:0.462595:0.640025:0.000000
=:@0.472348:0.646382:0.481453:0.646382:0.481453:0.631134:0.472348:0.631134:0.000000
+:@0.496284:0.656143:0.505389:0.656143:0.505389:0.640895:0.496284:0.640895:0.000000
3:@0.492287:0.638866:0.500380:0.638866:0.500380:0.624116:0.492287:0.624116:0.000000
5:@0.507744:0.656516:0.515837:0.656516:0.515837:0.641766:0.507744:0.641766:0.000000
 damos :@0.517080:0.646510:0.570018:0.646510:0.570018:0.631611:0.517080:0.631611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores a  , siendo :@0.294156:0.667885:0.419648:0.667885:0.419648:0.652986:0.294156:0.652986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.355872:0.667885:0.364516:0.667885:0.364516:0.653011:0.355872:0.653011:0.000000
n:@0.422421:0.668322:0.431930:0.668322:0.431930:0.651961:0.422421:0.651961:0.000000
∈:@0.432833:0.667907:0.445971:0.667907:0.445971:0.650965:0.432833:0.650965:0.000000
:@0.447593:0.669193:0.460898:0.669193:0.460898:0.652445:0.447593:0.652445:0.000000
 y obtenemos :@0.464878:0.667885:0.560600:0.667885:0.560600:0.652986:0.464878:0.652986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.563097:0.667790:0.571440:0.667790:0.571440:0.653065:0.563097:0.653065:0.000000
n:@0.571154:0.669594:0.576113:0.669594:0.576113:0.661060:0.571154:0.661060:0.000000
.:@0.577468:0.667790:0.580353:0.667790:0.580353:0.653040:0.577468:0.653040:0.000000
Paso 2.:@0.595636:0.639495:0.647886:0.639495:0.647886:0.623917:0.595636:0.623917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos la sucesión con puntos.:@0.651270:0.639495:0.886002:0.639495:0.886002:0.624596:0.651270:0.624596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.678325:0.639495:0.681994:0.639495:0.681994:0.624596:0.678325:0.624596:0.000000
En esta sucesión, a medida que   tiende:@0.595636:0.772794:0.863104:0.772794:0.863104:0.757895:0.595636:0.757895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.807771:0.772794:0.816416:0.772794:0.816416:0.757920:0.807771:0.757920:0.000000
al innito el valor de la sucesión tiende a 3.:@0.595636:0.787881:0.879622:0.787881:0.879622:0.772982:0.595636:0.772982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.626996:0.787881:0.630665:0.787881:0.630665:0.772982:0.626996:0.772982:0.000000
Es decir, es una sucesión convergente a tres.:@0.595636:0.802969:0.888546:0.802969:0.888546:0.788070:0.595636:0.788070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.699814:0.818009:0.708372:0.818009:0.708372:0.803284:0.699814:0.803284:0.000000
a:@0.750696:0.818009:0.759038:0.818009:0.759038:0.803284:0.750696:0.803284:0.000000
n:@0.758755:0.819814:0.763715:0.819814:0.763715:0.811280:0.758755:0.811280:0.000000
→∞:@0.710745:0.817635:0.741559:0.817635:0.741559:0.802387:0.710745:0.802387:0.000000:0.000000
→:@0.768228:0.817635:0.784597:0.817635:0.784597:0.802387:0.768228:0.802387:0.000000
; :@0.741941:0.818009:0.750714:0.818009:0.750714:0.803259:0.741941:0.803259:0.000000:0.000000
3:@0.786985:0.818009:0.795079:0.818009:0.795079:0.803259:0.786985:0.803259:0.000000
Paso 3. :@0.294156:0.840570:0.349791:0.840570:0.349791:0.824992:0.294156:0.824992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos el límite de la sucesión, para ello dividimos numerador y :@0.349791:0.840570:0.830330:0.840570:0.830330:0.825671:0.349791:0.825671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador para la variable con mayor exponente.:@0.294156:0.855657:0.644092:0.855657:0.644092:0.840758:0.294156:0.840758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.297698:0.892088:0.318018:0.892088:0.318018:0.877338:0.297698:0.877338:0.000000:0.000000:0.000000
lim:@0.368647:0.892088:0.388983:0.892088:0.388983:0.877338:0.368647:0.877338:0.000000:0.000000:0.000000
lim:@0.445811:0.892088:0.466132:0.892088:0.466132:0.877338:0.445811:0.877338:0.000000:0.000000:0.000000
x:@0.297418:0.897993:0.301267:0.897993:0.301267:0.889459:0.297418:0.889459:0.000000
x:@0.368381:0.897993:0.372230:0.897993:0.372230:0.889459:0.368381:0.889459:0.000000
x:@0.445531:0.897993:0.449381:0.897993:0.449381:0.889459:0.445531:0.889459:0.000000
n:@0.336510:0.884202:0.344972:0.884202:0.344972:0.869477:0.336510:0.869477:0.000000
n:@0.322257:0.901852:0.330720:0.901852:0.330720:0.887127:0.322257:0.887127:0.000000
n:@0.410591:0.870062:0.419054:0.870062:0.419054:0.855337:0.410591:0.855337:0.000000
n:@0.406868:0.887289:0.415331:0.887289:0.415331:0.872564:0.406868:0.872564:0.000000
n:@0.394518:0.900022:0.402981:0.900022:0.402981:0.885297:0.394518:0.885297:0.000000
nn:@0.394518:0.917249:0.427680:0.917249:0.427680:0.902524:0.394518:0.902524:0.000000:0.000000
n:@0.489708:0.917249:0.498170:0.917249:0.498170:0.902524:0.489708:0.902524:0.000000
→∞:@0.302403:0.897776:0.318923:0.897776:0.318923:0.888939:0.302403:0.888939:0.000000:0.000000
→∞:@0.373366:0.897776:0.389886:0.897776:0.389886:0.888939:0.373366:0.888939:0.000000:0.000000
→∞:@0.450526:0.897776:0.467046:0.897776:0.467046:0.888939:0.450526:0.888939:0.000000:0.000000
+:@0.332782:0.901473:0.341786:0.901473:0.341786:0.886226:0.332782:0.886226:0.000000
=:@0.355759:0.891715:0.364763:0.891715:0.364763:0.876467:0.355759:0.876467:0.000000
+:@0.406355:0.907311:0.415359:0.907311:0.415359:0.892063:0.406355:0.892063:0.000000
=:@0.432908:0.891715:0.441912:0.891715:0.441912:0.876467:0.432908:0.876467:0.000000
+:@0.476845:0.907311:0.485849:0.907311:0.485849:0.892063:0.476845:0.892063:0.000000
=:@0.503398:0.891715:0.512402:0.891715:0.512402:0.876467:0.503398:0.876467:0.000000
+:@0.523013:0.907311:0.532017:0.907311:0.532017:0.892063:0.523013:0.892063:0.000000
∞:@0.535871:0.916858:0.547564:0.916858:0.547564:0.901610:0.535871:0.901610:0.000000
=:@0.553436:0.891715:0.562440:0.891715:0.562440:0.876467:0.553436:0.876467:0.000000
+:@0.573051:0.901473:0.582055:0.901473:0.582055:0.886226:0.573051:0.886226:0.000000
=:@0.596766:0.891715:0.605770:0.891715:0.605770:0.876467:0.596766:0.876467:0.000000
3:@0.328813:0.884197:0.336817:0.884197:0.336817:0.869447:0.328813:0.869447:0.000000
5:@0.344099:0.901847:0.352102:0.901847:0.352102:0.887097:0.344099:0.887097:0.000000
3:@0.402895:0.870057:0.410898:0.870057:0.410898:0.855307:0.402895:0.855307:0.000000
5:@0.419476:0.900005:0.427479:0.900005:0.427479:0.885255:0.419476:0.885255:0.000000
3:@0.480798:0.884197:0.488801:0.884197:0.488801:0.869447:0.480798:0.869447:0.000000
1:@0.469104:0.907672:0.477107:0.907672:0.477107:0.892922:0.469104:0.892922:0.000000
5:@0.489982:0.900005:0.497985:0.900005:0.497985:0.885255:0.489982:0.885255:0.000000
3:@0.528933:0.884197:0.536937:0.884197:0.536937:0.869447:0.528933:0.869447:0.000000
1:@0.515288:0.907672:0.523291:0.907672:0.523291:0.892922:0.515288:0.892922:0.000000
5:@0.538068:0.900005:0.546072:0.900005:0.546072:0.885255:0.538068:0.885255:0.000000
3:@0.575626:0.884197:0.583629:0.884197:0.583629:0.869447:0.575626:0.869447:0.000000
10:@0.565326:0.901847:0.592387:0.901847:0.592387:0.887097:0.565326:0.887097:0.000000:0.000000
3:@0.608378:0.892088:0.616381:0.892088:0.616381:0.877338:0.608378:0.877338:0.000000
, valor que coincide con la tabla y la gráca.:@0.617069:0.891540:0.898593:0.891540:0.898593:0.876641:0.617069:0.876641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.876547:0.891540:0.880215:0.891540:0.880215:0.876641:0.876547:0.876641:0.000000
n:@0.387730:0.694737:0.396944:0.694737:0.396944:0.679373:0.387730:0.679373:0.000000
10:@0.384162:0.715495:0.400512:0.715495:0.400512:0.700596:0.384162:0.700596:0.000000:0.000000
20:@0.384162:0.730582:0.400512:0.730582:0.400512:0.715683:0.384162:0.715683:0.000000:0.000000
40:@0.384162:0.745670:0.400512:0.745670:0.400512:0.730771:0.384162:0.730771:0.000000:0.000000
60:@0.384162:0.760758:0.400512:0.760758:0.400512:0.745859:0.384162:0.745859:0.000000:0.000000
80:@0.384162:0.775845:0.400512:0.775845:0.400512:0.760946:0.384162:0.760946:0.000000:0.000000
100:@0.380074:0.790933:0.404600:0.790933:0.404600:0.776034:0.380074:0.776034:0.000000:0.000000:0.000000
2,00:@0.473586:0.715495:0.501027:0.715495:0.501027:0.700596:0.473586:0.700596:0.000000:0.000000:0.000000:0.000000
2,40:@0.473586:0.730582:0.501027:0.730582:0.501027:0.715683:0.473586:0.715683:0.000000:0.000000:0.000000:0.000000
2,67:@0.473586:0.745670:0.501027:0.745670:0.501027:0.730771:0.473586:0.730771:0.000000:0.000000:0.000000:0.000000
2,77:@0.473586:0.760758:0.501027:0.760758:0.501027:0.745859:0.473586:0.745859:0.000000:0.000000:0.000000:0.000000
2,82:@0.473586:0.775845:0.501027:0.775845:0.501027:0.760946:0.473586:0.760946:0.000000:0.000000:0.000000:0.000000
2,86:@0.473586:0.790933:0.501027:0.790933:0.501027:0.776034:0.473586:0.776034:0.000000:0.000000:0.000000:0.000000
a:@0.462846:0.691892:0.469603:0.691892:0.469603:0.679965:0.462846:0.679965:0.000000
n:@0.499711:0.685505:0.506643:0.685505:0.506643:0.673578:0.499711:0.673578:0.000000
n:@0.488038:0.699802:0.494969:0.699802:0.494969:0.687875:0.488038:0.687875:0.000000
n:@0.469371:0.693354:0.473389:0.693354:0.473389:0.686441:0.469371:0.686441:0.000000
=:@0.477272:0.691590:0.484647:0.691590:0.484647:0.679239:0.477272:0.679239:0.000000
+:@0.496659:0.699495:0.504034:0.699495:0.504034:0.687144:0.496659:0.687144:0.000000
3:@0.493422:0.685500:0.499977:0.685500:0.499977:0.673553:0.493422:0.673553:0.000000
5:@0.505942:0.699797:0.512498:0.699797:0.512498:0.687850:0.505942:0.687850:0.000000
1:@0.610386:0.720623:0.616730:0.720623:0.616730:0.709466:0.610386:0.709466:0.000000
2:@0.610386:0.702765:0.616730:0.702765:0.616730:0.691609:0.610386:0.691609:0.000000
3:@0.610386:0.684982:0.616730:0.684982:0.616730:0.673825:0.610386:0.673825:0.000000
4:@0.610386:0.667124:0.616730:0.667124:0.616730:0.655968:0.610386:0.655968:0.000000
10 20 30 40 50 60 70 80 90 100 110:@0.637766:0.745061:0.887056:0.745061:0.887056:0.733905:0.637766:0.733905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.609743:0.745061:0.616087:0.745061:0.616087:0.733905:0.609743:0.733905:0.000000
C n:@0.597644:0.654661:0.613492:0.654661:0.613492:0.644240:0.597644:0.644240:0.000000:0.000000:0.000000
( ):@0.604050:0.654661:0.616770:0.654661:0.616770:0.644248:0.604050:0.644248:0.000000:0.000000:0.000000
n:@0.892680:0.743637:0.898843:0.743637:0.898843:0.733215:0.892680:0.733215:0.000000
Valores en a:@0.630434:0.657472:0.686172:0.657472:0.686172:0.647051:0.630434:0.647051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.686171:0.659455:0.689764:0.659455:0.689764:0.653379:0.686171:0.653379:0.000000
Valores en n:@0.714812:0.730787:0.770689:0.730787:0.770689:0.720365:0.714812:0.720365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 3 3:@0.610386:0.684982:0.616730:0.684982:0.616730:0.673826:0.610386:0.673826:0.000000:0.000000:0.000000:0.000000:0.000000
El número de libros de tu :@0.073565:0.476418:0.224277:0.476418:0.224277:0.463009:0.073565:0.463009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
biblioteca forman una sucesión.:@0.073565:0.488990:0.259963:0.488990:0.259963:0.475580:0.073565:0.475580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión también se :@0.076977:0.649566:0.247835:0.649566:0.247835:0.634667:0.076977:0.634667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
define como un conjunto :@0.073224:0.663396:0.247833:0.663396:0.247833:0.648497:0.073224:0.648497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenado de infinitos :@0.100983:0.677226:0.247833:0.677226:0.247833:0.662327:0.100983:0.662327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales :@0.142445:0.691057:0.247835:0.691057:0.247835:0.676158:0.142445:0.676158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aa aa:@0.138771:0.705043:0.215111:0.705043:0.215111:0.690318:0.138771:0.690318:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.146687:0.706846:0.151377:0.706846:0.151377:0.698298:0.146687:0.698298:0.000000
1:@0.169581:0.706846:0.174272:0.706846:0.174272:0.698298:0.169581:0.698298:0.000000
2:@0.191448:0.706846:0.196139:0.706846:0.196139:0.698298:0.191448:0.698298:0.000000
3:@0.214680:0.706846:0.219370:0.706846:0.219370:0.698298:0.214680:0.698298:0.000000
,:@0.153518:0.705043:0.156404:0.705043:0.156404:0.690293:0.153518:0.690293:0.000000
,:@0.174763:0.705043:0.177649:0.705043:0.177649:0.690293:0.174763:0.690293:0.000000
,:@0.197999:0.705043:0.200885:0.705043:0.200885:0.690293:0.197999:0.690293:0.000000
,...}:@0.221234:0.705043:0.238167:0.705043:0.238167:0.690293:0.221234:0.690293:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.203123:0.705043:0.206756:0.705043:0.206756:0.690293:0.203123:0.690293:0.000000
{:@0.131137:0.706289:0.139098:0.706289:0.139098:0.686543:0.131137:0.686543:0.000000
.:@0.241249:0.704887:0.244164:0.704887:0.244164:0.689988:0.241249:0.689988:0.000000
Los límites de las :@0.132408:0.722275:0.247831:0.722275:0.247831:0.707376:0.132408:0.707376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesiones siempre se :@0.095972:0.736106:0.247831:0.736106:0.247831:0.721207:0.095972:0.721207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculan al infinito.:@0.121084:0.749936:0.244162:0.749936:0.244162:0.735037:0.121084:0.735037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115206:0.617124:0.222747:0.617124:0.222747:0.600223:0.115206:0.600223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000