﻿74:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Límites y continuidad de funciones:@0.073089:0.043661:0.383513:0.043661:0.383513:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 1. Noción intuitiva del límite y definición del límite de una función:@0.073089:0.095370:0.921632:0.095370:0.921632:0.070377:0.073089:0.070377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.099196:0.222474:0.104393:0.222474:0.104393:0.213300:0.099196:0.213300:0.000000
2:@0.087722:0.214726:0.092919:0.214726:0.092919:0.205551:0.087722:0.205551:0.000000
4:@0.087722:0.198545:0.092919:0.198545:0.092919:0.189370:0.087722:0.189370:0.000000
6:@0.087722:0.181539:0.092919:0.181539:0.092919:0.172365:0.087722:0.172365:0.000000
8:@0.087722:0.165274:0.092919:0.165274:0.092919:0.156100:0.087722:0.156100:0.000000
10:@0.082525:0.149025:0.092919:0.149025:0.092919:0.139850:0.082525:0.139850:0.000000:0.000000
12:@0.082525:0.132516:0.092919:0.132516:0.092919:0.123342:0.082525:0.123342:0.000000:0.000000
2:@0.128267:0.222474:0.133464:0.222474:0.133464:0.213300:0.128267:0.213300:0.000000
4:@0.158112:0.222474:0.163309:0.222474:0.163309:0.213300:0.158112:0.213300:0.000000
6:@0.187288:0.222474:0.192485:0.222474:0.192485:0.213300:0.187288:0.213300:0.000000
8:@0.217022:0.222474:0.222219:0.222474:0.222219:0.213300:0.217022:0.213300:0.000000
10:@0.243524:0.222474:0.253918:0.222474:0.253918:0.213300:0.243524:0.213300:0.000000:0.000000
f(x):@0.087092:0.176484:0.087092:0.166386:0.074915:0.166386:0.074915:0.176484:0.000000:0.000000:0.000000:0.000000
f(x)=x+2:@0.109153:0.131294:0.132731:0.131294:0.132731:0.125178:0.109153:0.125178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x)=7:@0.109153:0.145099:0.125579:0.145099:0.125579:0.138983:0.109153:0.138983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x=5:@0.109153:0.138199:0.119770:0.138199:0.119770:0.132083:0.109153:0.132083:0.000000:0.000000:0.000000
Sea:@0.293660:0.251541:0.321632:0.251541:0.321632:0.235829:0.293660:0.235829:0.000000:0.000000:0.000000
 f x:@0.322652:0.251541:0.345575:0.251541:0.345575:0.235135:0.322652:0.235135:0.000000:0.000000:0.000000:0.000000
( )=:@0.331628:0.251756:0.367045:0.251756:0.367045:0.235706:0.331628:0.235706:0.000000:0.000000:0.000000:0.000000
x:@0.367965:0.251541:0.375420:0.251541:0.375420:0.235135:0.367965:0.235135:0.000000
2:@0.376459:0.245478:0.381696:0.245478:0.381696:0.236317:0.376459:0.236317:0.000000
–:@0.382293:0.252124:0.391496:0.252124:0.391496:0.234470:0.382293:0.234470:0.000000
3:@0.392509:0.251541:0.401491:0.251541:0.401491:0.235829:0.392509:0.235829:0.000000
.:@0.402522:0.251541:0.405854:0.251541:0.405854:0.235135:0.402522:0.235135:0.000000
Vamos a tomar valores de x cercanos a 3, tanto por la izquierda como por la derecha::@0.293662:0.286045:0.905167:0.286045:0.905167:0.270333:0.293662:0.270333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valores de   cercanos a 3 por la izquierda:@0.315051:0.322365:0.600626:0.322365:0.600626:0.306652:0.315051:0.306652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.390795:0.322050:0.397572:0.322050:0.397572:0.307135:0.390795:0.307135:0.000000
x:@0.379336:0.341309:0.386791:0.341309:0.386791:0.324903:0.379336:0.324903:0.000000
f x:@0.494676:0.341240:0.514368:0.341240:0.514368:0.324833:0.494676:0.324833:0.000000:0.000000:0.000000
( )=:@0.500420:0.341454:0.535838:0.341454:0.535838:0.325405:0.500420:0.325405:0.000000:0.000000:0.000000:0.000000
x:@0.536758:0.341240:0.544213:0.341240:0.544213:0.324833:0.536758:0.324833:0.000000
2:@0.545250:0.335176:0.550487:0.335176:0.550487:0.326015:0.545250:0.326015:0.000000
–:@0.551086:0.341822:0.560289:0.341822:0.560289:0.324168:0.551086:0.324168:0.000000
3:@0.561302:0.341240:0.570284:0.341240:0.570284:0.325527:0.561302:0.325527:0.000000
2:@0.315473:0.359315:0.323639:0.359315:0.323639:0.345031:0.315473:0.345031:0.000000
1:@0.464889:0.359315:0.473056:0.359315:0.473056:0.345031:0.464889:0.345031:0.000000
2,5:@0.315473:0.379487:0.334583:0.379487:0.334583:0.365203:0.315473:0.365203:0.000000:0.000000:0.000000
3,25:@0.464889:0.379487:0.492099:0.379487:0.492099:0.365203:0.464889:0.365203:0.000000:0.000000:0.000000:0.000000
2,9:@0.315473:0.399659:0.334583:0.399659:0.334583:0.385374:0.315473:0.385374:0.000000:0.000000:0.000000
5,41:@0.464889:0.399659:0.492099:0.399659:0.492099:0.385374:0.464889:0.385374:0.000000:0.000000:0.000000:0.000000
2,99:@0.315473:0.419831:0.342682:0.419831:0.342682:0.405546:0.315473:0.405546:0.000000:0.000000:0.000000:0.000000
5,9401:@0.464889:0.419831:0.508297:0.419831:0.508297:0.405546:0.464889:0.405546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,999:@0.315473:0.440003:0.350781:0.440003:0.350781:0.425718:0.315473:0.425718:0.000000:0.000000:0.000000:0.000000:0.000000
5,994001:@0.464889:0.440003:0.524495:0.440003:0.524495:0.425718:0.464889:0.425718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,9999:@0.315473:0.460174:0.358880:0.460174:0.358880:0.445890:0.315473:0.445890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,99940001:@0.464889:0.460174:0.540694:0.460174:0.540694:0.445890:0.464889:0.445890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,99999:@0.315473:0.480346:0.366980:0.480346:0.366980:0.466062:0.315473:0.466062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,99994:@0.464889:0.480346:0.516396:0.480346:0.516396:0.466062:0.464889:0.466062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,999999:@0.315473:0.500518:0.375079:0.500518:0.375079:0.486234:0.315473:0.486234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,999994:@0.464889:0.500518:0.524495:0.500518:0.524495:0.486234:0.464889:0.486234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valores de   cercanos a 3 por la derecha:@0.624798:0.322365:0.905640:0.322365:0.905640:0.306652:0.624798:0.306652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.701239:0.322050:0.708016:0.322050:0.708016:0.307135:0.701239:0.307135:0.000000
x:@0.687893:0.341378:0.695348:0.341378:0.695348:0.324972:0.687893:0.324972:0.000000
f x:@0.800877:0.341240:0.820558:0.341240:0.820558:0.324833:0.800877:0.324833:0.000000:0.000000:0.000000
( )=:@0.806610:0.341454:0.842027:0.341454:0.842027:0.325405:0.806610:0.325405:0.000000:0.000000:0.000000:0.000000
x:@0.842948:0.341240:0.850403:0.341240:0.850403:0.324833:0.842948:0.324833:0.000000
2:@0.851442:0.335176:0.856679:0.335176:0.856679:0.326015:0.851442:0.326015:0.000000
–:@0.857275:0.341822:0.866479:0.341822:0.866479:0.324168:0.857275:0.324168:0.000000
3:@0.867491:0.341240:0.876474:0.341240:0.876474:0.325527:0.867491:0.325527:0.000000
4:@0.624644:0.360294:0.633627:0.360294:0.633627:0.344582:0.624644:0.344582:0.000000
13:@0.771700:0.360294:0.789592:0.360294:0.789592:0.344582:0.771700:0.344582:0.000000:0.000000
3,5:@0.624644:0.380556:0.645665:0.380556:0.645665:0.364843:0.624644:0.364843:0.000000:0.000000:0.000000
9,25:@0.771700:0.380556:0.801630:0.380556:0.801630:0.364843:0.771700:0.364843:0.000000:0.000000:0.000000:0.000000
3,1:@0.624644:0.400817:0.645665:0.400817:0.645665:0.385105:0.624644:0.385105:0.000000:0.000000:0.000000
6,61:@0.771700:0.400817:0.801630:0.400817:0.801630:0.385105:0.771700:0.385105:0.000000:0.000000:0.000000:0.000000
3,01:@0.624644:0.421079:0.654574:0.421079:0.654574:0.405366:0.624644:0.405366:0.000000:0.000000:0.000000:0.000000
6,0601:@0.771700:0.421079:0.819448:0.421079:0.819448:0.405366:0.771700:0.405366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,001:@0.624644:0.441340:0.663484:0.441340:0.663484:0.425628:0.624644:0.425628:0.000000:0.000000:0.000000:0.000000:0.000000
6,006001:@0.771700:0.441340:0.837266:0.441340:0.837266:0.425628:0.771700:0.425628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,0001:@0.624644:0.461602:0.672393:0.461602:0.672393:0.445889:0.624644:0.445889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,00060001:@0.771700:0.461602:0.855085:0.461602:0.855085:0.445889:0.771700:0.445889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,00001:@0.624644:0.481863:0.681302:0.481863:0.681302:0.466150:0.624644:0.466150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,00006:@0.771700:0.481863:0.828357:0.481863:0.828357:0.466150:0.771700:0.466150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,000001:@0.624644:0.502124:0.690211:0.502124:0.690211:0.486412:0.624644:0.486412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,000006:@0.771700:0.502124:0.837266:0.502124:0.837266:0.486412:0.771700:0.486412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos los resultados del comportamiento de la función f:@0.293663:0.541815:0.765497:0.541815:0.765497:0.526103:0.293663:0.526103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )=:@0.765582:0.542050:0.797836:0.542050:0.797836:0.526000:0.765582:0.526000:0.000000:0.000000:0.000000:0.000000
x:@0.771305:0.541520:0.778082:0.541520:0.778082:0.526606:0.771305:0.526606:0.000000
x:@0.797979:0.541520:0.804756:0.541520:0.804756:0.526606:0.797979:0.526606:0.000000
2:@0.804855:0.535771:0.810092:0.535771:0.810092:0.526611:0.804855:0.526611:0.000000
–3 cuando   se :@0.810815:0.541835:0.930949:0.541835:0.930949:0.526123:0.810815:0.526123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.898842:0.541520:0.905619:0.541520:0.905619:0.526606:0.898842:0.526606:0.000000
acerca a 3 por la izquierda. Podemos concluir que las imágenes se acercan a 6.:@0.293662:0.558477:0.858538:0.558477:0.858538:0.542765:0.293662:0.542765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En notación matemática sería: :@0.293662:0.592981:0.515808:0.592981:0.515808:0.577269:0.293662:0.577269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim :@0.557898:0.627485:0.587847:0.627485:0.587847:0.611773:0.557898:0.611773:0.000000:0.000000:0.000000:0.000000
(:@0.588842:0.627714:0.594415:0.627714:0.594415:0.611664:0.588842:0.611664:0.000000
x:@0.595335:0.627184:0.602112:0.627184:0.602112:0.612269:0.595335:0.612269:0.000000
2:@0.602052:0.621435:0.607289:0.621435:0.607289:0.612275:0.602052:0.612275:0.000000
–3:@0.607885:0.627499:0.627103:0.627499:0.627103:0.611787:0.607885:0.611787:0.000000:0.000000
)=:@0.628120:0.627714:0.648552:0.627714:0.648552:0.611664:0.628120:0.611664:0.000000:0.000000
6.:@0.649471:0.627499:0.662687:0.627499:0.662687:0.611787:0.649471:0.611787:0.000000:0.000000
Igualmente, con los resultados del comportamiento de la función f:@0.293658:0.662003:0.776151:0.662003:0.776151:0.646291:0.293658:0.646291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )=:@0.775669:0.662224:0.807296:0.662224:0.807296:0.646175:0.775669:0.646175:0.000000:0.000000:0.000000:0.000000
x:@0.781158:0.661694:0.787935:0.661694:0.787935:0.646780:0.781158:0.646780:0.000000
x:@0.807212:0.661694:0.813990:0.661694:0.813990:0.646780:0.807212:0.646780:0.000000
2:@0.813936:0.655946:0.819173:0.655946:0.819173:0.646785:0.813936:0.646785:0.000000
–3 cuando   se :@0.819125:0.662010:0.930956:0.662010:0.930956:0.646297:0.819125:0.646297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.900288:0.661694:0.907467:0.661694:0.907467:0.647410:0.900288:0.647410:0.000000
acerca a 3 por la derecha podemos concluir que las imágenes se acercan a 6.:@0.293660:0.678651:0.849261:0.678651:0.849261:0.662939:0.293660:0.662939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En notación matemática sería::@0.307889:0.713156:0.526004:0.713156:0.526004:0.697443:0.307889:0.697443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim :@0.565001:0.747660:0.594950:0.747660:0.594950:0.731947:0.565001:0.731947:0.000000:0.000000:0.000000:0.000000
(:@0.595957:0.747888:0.601530:0.747888:0.601530:0.731839:0.595957:0.731839:0.000000
x:@0.602450:0.747358:0.609227:0.747358:0.609227:0.732444:0.602450:0.732444:0.000000
2:@0.609167:0.741610:0.614404:0.741610:0.614404:0.732449:0.609167:0.732449:0.000000
–3:@0.615001:0.747673:0.634218:0.747673:0.634218:0.731961:0.615001:0.731961:0.000000:0.000000
)=:@0.635233:0.747888:0.655666:0.747888:0.655666:0.731839:0.635233:0.731839:0.000000:0.000000
6.:@0.656586:0.747673:0.669802:0.747673:0.669802:0.731961:0.656586:0.731961:0.000000:0.000000
Finalmente, y teniendo en cuenta los límites laterales de :@0.307897:0.782178:0.757031:0.782178:0.757031:0.766465:0.307897:0.766465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.759156:0.781869:0.776359:0.781869:0.776359:0.766954:0.759156:0.766954:0.000000:0.000000:0.000000
( )=:@0.763674:0.782398:0.796456:0.782398:0.796456:0.766349:0.763674:0.766349:0.000000:0.000000:0.000000:0.000000
x:@0.796807:0.781869:0.803585:0.781869:0.803585:0.766954:0.796807:0.766954:0.000000
2:@0.803814:0.776120:0.809051:0.776120:0.809051:0.766959:0.803814:0.766959:0.000000
–3, con iguales :@0.809242:0.782184:0.930997:0.782184:0.930997:0.766471:0.809242:0.766471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tendencias de las imágenes, podemos concluir::@0.307884:0.798826:0.651380:0.798826:0.651380:0.783113:0.307884:0.783113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim :@0.564996:0.833330:0.594945:0.833330:0.594945:0.817617:0.564996:0.817617:0.000000:0.000000:0.000000:0.000000
(:@0.595957:0.833550:0.601530:0.833550:0.601530:0.817501:0.595957:0.817501:0.000000
x:@0.602450:0.833021:0.609227:0.833021:0.609227:0.818106:0.602450:0.818106:0.000000
2:@0.609167:0.827272:0.614404:0.827272:0.614404:0.818112:0.609167:0.818112:0.000000
–3:@0.615001:0.833336:0.634218:0.833336:0.634218:0.817623:0.615001:0.817623:0.000000:0.000000
)=:@0.635233:0.833550:0.655666:0.833550:0.655666:0.817501:0.635233:0.817501:0.000000:0.000000
6.:@0.656586:0.833336:0.669802:0.833336:0.669802:0.817623:0.656586:0.817623:0.000000:0.000000
A manera de comentario podemos observar que para este caso  3:@0.307897:0.867840:0.812519:0.867846:0.812519:0.852134:0.307897:0.852127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.793509:0.867531:0.797776:0.867531:0.797776:0.852617:0.793509:0.852617:0.000000
( )=:@0.797860:0.868061:0.832245:0.868061:0.832245:0.852011:0.797860:0.852011:0.000000:0.000000:0.000000:0.000000
3 –3 6. Este :@0.832353:0.867846:0.930959:0.867846:0.930959:0.852134:0.832353:0.852134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.841442:0.861783:0.846678:0.861783:0.846678:0.852622:0.841442:0.852622:0.000000
=:@0.865137:0.868061:0.879076:0.868061:0.879076:0.852011:0.865137:0.852011:0.000000
aspecto será relevante más adelante.:@0.307897:0.884488:0.574420:0.884488:0.574420:0.868776:0.307897:0.868776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos gráficamente el comportamiento de las imágenes alrededor de :@0.307897:0.918992:0.867758:0.918992:0.867758:0.903280:0.307897:0.903280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.867239:0.918992:0.874693:0.918992:0.874693:0.902586:0.867239:0.902586:0.000000
=:@0.874620:0.919214:0.888559:0.919214:0.888559:0.903164:0.874620:0.903164:0.000000
3, :@0.888475:0.918999:0.904619:0.918999:0.904619:0.903287:0.888475:0.903287:0.000000:0.000000:0.000000
donde las imágenes realmente se acercan a 6. :@0.307892:0.935641:0.644854:0.935641:0.644854:0.919929:0.307892:0.919929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.559436:0.636783:0.564858:0.636783:0.564858:0.624852:0.559436:0.624852:0.000000
3:@0.575607:0.636783:0.582140:0.636783:0.582140:0.625356:0.575607:0.625356:0.000000
–:@0.582885:0.632620:0.586787:0.632620:0.586787:0.625135:0.582885:0.625135:0.000000
x:@0.558961:0.756956:0.564382:0.756956:0.564382:0.745025:0.558961:0.745025:0.000000
3:@0.574598:0.756956:0.581131:0.756956:0.581131:0.745529:0.574598:0.745529:0.000000
+:@0.581071:0.752793:0.587572:0.752793:0.587572:0.745308:0.581071:0.745308:0.000000
x:@0.561844:0.840324:0.567266:0.840324:0.567266:0.828393:0.561844:0.828393:0.000000
3:@0.578127:0.840324:0.584660:0.840324:0.584660:0.828897:0.578127:0.828897:0.000000
Imagina que tienes la función :@0.302768:0.162075:0.501655:0.162075:0.501655:0.147791:0.302768:0.147791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.501416:0.162075:0.519890:0.162075:0.519890:0.147160:0.501416:0.147160:0.000000:0.000000:0.000000
( )= +:@0.506620:0.162605:0.563833:0.162605:0.563833:0.146555:0.506620:0.146555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.542180:0.162075:0.548957:0.162075:0.548957:0.147160:0.542180:0.147160:0.000000
2.:@0.563750:0.162075:0.574761:0.162075:0.574761:0.147791:0.563750:0.147791:0.000000:0.000000
¿Qué valor parece tomar :@0.302752:0.177204:0.468506:0.177204:0.468506:0.162920:0.302752:0.162920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.468300:0.177204:0.486774:0.177204:0.486774:0.162289:0.468300:0.162289:0.000000:0.000000:0.000000
( ):@0.473504:0.177734:0.493283:0.177734:0.493283:0.161684:0.473504:0.161684:0.000000:0.000000:0.000000
 cuando   se acerca cada vez más a 5?:@0.494204:0.177204:0.743508:0.177204:0.743508:0.162920:0.494204:0.162920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.551869:0.177204:0.558646:0.177204:0.558646:0.162289:0.551869:0.162289:0.000000
Explica con tus palabras qué significa que el límite de :@0.302735:0.192333:0.656208:0.192333:0.656208:0.178049:0.302735:0.178049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.655803:0.192333:0.674277:0.192333:0.674277:0.177418:0.655803:0.177418:0.000000:0.000000:0.000000
( ):@0.661007:0.192862:0.680786:0.192862:0.680786:0.176813:0.661007:0.176813:0.000000:0.000000:0.000000
 cuando   se acerca a 5 es igual a 7.:@0.681707:0.192333:0.913364:0.192333:0.913364:0.178049:0.681707:0.178049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.739372:0.192333:0.746149:0.192333:0.746149:0.177418:0.739372:0.177418:0.000000
Quizás te preguntes para qué :@0.078581:0.317817:0.236827:0.317817:0.236827:0.306390:0.078581:0.306390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sirven los límites de una función :@0.078581:0.329921:0.251099:0.329921:0.251099:0.318493:0.078581:0.318493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la vida real. Aquí algunos :@0.078581:0.342024:0.228299:0.342024:0.228299:0.330596:0.078581:0.330596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplos que muestran cómo :@0.078581:0.354127:0.241060:0.354127:0.241060:0.342699:0.078581:0.342699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los límites son esenciales para :@0.078581:0.366230:0.238632:0.366230:0.238632:0.354803:0.078581:0.354803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprender el comportamiento :@0.078581:0.378333:0.253576:0.378333:0.253576:0.366906:0.078581:0.366906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de algo al acercarse a un valor :@0.078581:0.390436:0.239729:0.390436:0.239729:0.379009:0.078581:0.379009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinado.:@0.078581:0.402539:0.149851:0.402539:0.149851:0.391112:0.078581:0.391112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.421076:0.084766:0.421076:0.084766:0.409649:0.078581:0.409649:0.000000:0.000000
Velocidades instantáneas::@0.107042:0.421076:0.249194:0.421076:0.249194:0.408953:0.107042:0.408953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.249119:0.421076:0.252051:0.421076:0.252051:0.409649:0.249119:0.409649:0.000000
calcular la velocidad en un :@0.107042:0.433179:0.249824:0.433179:0.249824:0.421752:0.107042:0.421752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instante exacto.:@0.107042:0.445283:0.189754:0.445283:0.189754:0.433855:0.107042:0.433855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.463818:0.084766:0.463818:0.084766:0.452391:0.078581:0.452391:0.000000:0.000000
Predicción de fenómenos::@0.107042:0.463818:0.250042:0.463818:0.250042:0.451695:0.107042:0.451695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.249976:0.463818:0.252907:0.463818:0.252907:0.452391:0.249976:0.452391:0.000000
modelar cambios en el clima :@0.107042:0.475921:0.261997:0.475921:0.261997:0.464494:0.107042:0.464494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o la temperatura.:@0.107042:0.488024:0.197105:0.488024:0.197105:0.476597:0.107042:0.476597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.506560:0.084766:0.506560:0.084766:0.495132:0.078581:0.495132:0.000000:0.000000
Crecimiento poblacional::@0.107042:0.506560:0.245009:0.506560:0.245009:0.494436:0.107042:0.494436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244942:0.506560:0.247874:0.506560:0.247874:0.495132:0.244942:0.495132:0.000000
predecir cómo una :@0.107042:0.518663:0.210686:0.518663:0.210686:0.507236:0.107042:0.507236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
población crece o se :@0.107042:0.530766:0.218967:0.530766:0.218967:0.519339:0.107042:0.519339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estabiliza.:@0.107042:0.542869:0.157832:0.542869:0.157832:0.531442:0.107042:0.531442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.561406:0.084766:0.561406:0.084766:0.549979:0.078581:0.549979:0.000000:0.000000
Economía y finanzas::@0.107042:0.561406:0.221936:0.561406:0.221936:0.549283:0.107042:0.549283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.221883:0.561406:0.224814:0.561406:0.224814:0.549979:0.221883:0.549979:0.000000
analizar tendencias de :@0.107042:0.573509:0.227385:0.573509:0.227385:0.562082:0.107042:0.562082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precios o mercados.:@0.107042:0.585612:0.212504:0.585612:0.212504:0.574185:0.107042:0.574185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.604148:0.084766:0.604148:0.084766:0.592720:0.078581:0.592720:0.000000:0.000000
Medicina::@0.107042:0.604148:0.160626:0.604148:0.160626:0.592024:0.107042:0.592024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 calcular :@0.160550:0.604148:0.206816:0.604148:0.206816:0.592720:0.160550:0.592720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concentraciones máximas :@0.107042:0.616251:0.247966:0.616251:0.247966:0.604824:0.107042:0.604824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de medicamentos.:@0.107042:0.628354:0.205506:0.628354:0.205506:0.616927:0.107042:0.616927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.078581:0.646890:0.084766:0.646890:0.084766:0.635462:0.078581:0.635462:0.000000:0.000000
Robótica::@0.107042:0.646890:0.158966:0.646890:0.158966:0.634766:0.107042:0.634766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 realizar cálculos :@0.158890:0.646890:0.247119:0.646890:0.247119:0.635462:0.158890:0.635462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisos para movimientos :@0.107042:0.658993:0.252061:0.658993:0.252061:0.647565:0.107042:0.647565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de robots.:@0.107042:0.671096:0.160004:0.671096:0.160004:0.659668:0.107042:0.659668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.255334:0.230966:0.255334:0.230966:0.239927:0.078581:0.239927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.078581:0.270463:0.178418:0.270463:0.178418:0.256178:0.078581:0.256178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
historia:@0.078581:0.285592:0.126928:0.285592:0.126928:0.271307:0.078581:0.271307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.173571:0.909302:0.178540:0.909302:0.178540:0.900610:0.173571:0.900610:0.000000
1:@0.200668:0.909302:0.205638:0.909302:0.205638:0.900610:0.200668:0.900610:0.000000
2:@0.221085:0.909302:0.226055:0.909302:0.226055:0.900610:0.221085:0.900610:0.000000
3:@0.240759:0.909302:0.245728:0.909302:0.245728:0.900610:0.240759:0.900610:0.000000
4:@0.260657:0.909302:0.265626:0.909302:0.265626:0.900610:0.260657:0.900610:0.000000
5:@0.280952:0.909302:0.285921:0.909302:0.285921:0.900610:0.280952:0.900610:0.000000
-5:@0.078472:0.909302:0.086475:0.909302:0.086475:0.900610:0.078472:0.900610:0.000000:0.000000
-4:@0.098889:0.909302:0.106893:0.909302:0.106893:0.900610:0.098889:0.900610:0.000000:0.000000
-3:@0.118562:0.909302:0.126566:0.909302:0.126566:0.900610:0.118562:0.900610:0.000000:0.000000
-2:@0.138460:0.909302:0.146464:0.909302:0.146464:0.900610:0.138460:0.900610:0.000000:0.000000
-2:@0.170526:0.924186:0.178530:0.924186:0.178530:0.915494:0.170526:0.915494:0.000000:0.000000
2:@0.173561:0.879750:0.178530:0.879750:0.178530:0.871057:0.173561:0.871057:0.000000
4:@0.173561:0.857424:0.178530:0.857424:0.178530:0.848732:0.173561:0.848732:0.000000
6:@0.173561:0.835190:0.178530:0.835190:0.178530:0.826498:0.173561:0.826498:0.000000
8:@0.173561:0.812765:0.178530:0.812765:0.178530:0.804073:0.173561:0.804073:0.000000
10:@0.168592:0.790440:0.178530:0.790440:0.178530:0.781747:0.168592:0.781747:0.000000:0.000000
12:@0.168592:0.768206:0.178530:0.768206:0.178530:0.759514:0.168592:0.759514:0.000000:0.000000
14:@0.168592:0.745221:0.178530:0.745221:0.178530:0.736528:0.168592:0.736528:0.000000:0.000000
-1:@0.158755:0.909302:0.166759:0.909302:0.166759:0.900610:0.158755:0.900610:0.000000:0.000000
f x:@0.104168:0.739838:0.118800:0.739838:0.118800:0.727358:0.104168:0.727358:0.000000:0.000000:0.000000
( )=:@0.108579:0.739838:0.132535:0.739838:0.132535:0.727886:0.108579:0.727886:0.000000:0.000000:0.000000:0.000000
x:@0.133376:0.739838:0.139046:0.739838:0.139046:0.727358:0.133376:0.727358:0.000000
2:@0.139886:0.742250:0.143870:0.742250:0.143870:0.735282:0.139886:0.735282:0.000000
:@0.144359:0.740281:0.151360:0.740281:0.151360:0.726852:0.144359:0.726852:0.000000
3:@0.152200:0.739838:0.159033:0.739838:0.159033:0.727886:0.152200:0.727886:0.000000
f:@0.246796:0.869116:0.250366:0.869116:0.250366:0.856637:0.246796:0.856637:0.000000
(3)=6:@0.251206:0.869116:0.283998:0.869116:0.283998:0.857164:0.251206:0.857164:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.1:@0.146414:0.709830:0.220367:0.709830:0.220367:0.693160:0.146414:0.693160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. 1. Explora y comprende el concepto de límite de una sucesión y de una función.:@0.452654:0.971430:0.916179:0.971430:0.916179:0.960002:0.452654:0.960002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.302768:0.205336:0.314603:0.205336:0.314603:0.193909:0.302768:0.193909:0.000000:0.000000:0.000000
x:@0.314536:0.205336:0.319957:0.205336:0.319957:0.193405:0.314536:0.193405:0.000000
=:@0.319904:0.205760:0.331055:0.205760:0.331055:0.192920:0.319904:0.192920:0.000000
4.9 entonces  4.99:@0.330988:0.205336:0.430481:0.205336:0.430481:0.193909:0.330988:0.193909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.400963:0.205336:0.404376:0.205336:0.404376:0.193405:0.400963:0.193405:0.000000
(:@0.404323:0.205760:0.408781:0.205760:0.408781:0.192920:0.404323:0.192920:0.000000
)=:@0.430401:0.205760:0.445943:0.205760:0.445943:0.192920:0.430401:0.192920:0.000000:0.000000
4.99 2 6.99:@0.445876:0.205336:0.517979:0.205336:0.517979:0.193909:0.445876:0.193909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.467563:0.205760:0.496279:0.205760:0.496279:0.192920:0.467563:0.192920:0.000000:0.000000:0.000000
Si :@0.302755:0.216471:0.314589:0.216471:0.314589:0.205044:0.302755:0.205044:0.000000:0.000000:0.000000
x:@0.314522:0.216471:0.319944:0.216471:0.319944:0.204539:0.314522:0.204539:0.000000
=:@0.319890:0.216895:0.331042:0.216895:0.331042:0.204055:0.319890:0.204055:0.000000
5,1 entonces  5.1:@0.330975:0.216471:0.423989:0.216471:0.423989:0.205044:0.330975:0.205044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.400949:0.216471:0.404363:0.216471:0.404363:0.204539:0.400949:0.204539:0.000000
(:@0.404309:0.216895:0.408767:0.216895:0.408767:0.204055:0.404309:0.204055:0.000000
)=:@0.423922:0.216895:0.439464:0.216895:0.439464:0.204055:0.423922:0.204055:0.000000:0.000000
5.1 2 7.1:@0.439397:0.216471:0.498555:0.216471:0.498555:0.205044:0.439397:0.205044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.454618:0.216895:0.483333:0.216895:0.483333:0.204055:0.454618:0.204055:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000