:@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
:@0.097965:0.094939:0.189447:0.094939:0.189447:0.068807:0.097965:0.068807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.752416:0.083901:0.796060:0.083901:0.796060:0.063650:0.752416:0.063650:0.000000:0.000000:0.000000
Participación:@0.721987:0.098360:0.826490:0.098360:0.826490:0.081459:0.721987:0.081459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducción:@0.069054:0.189000:0.179097:0.189000:0.179097:0.170306:0.069054:0.170306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.061931:0.362134:0.214872:0.362134:0.214872:0.343441:0.061931:0.343441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe en la entrada de Perplexity, lo siguiente::@0.073220:0.385483:0.419689:0.385483:0.419689:0.369095:0.073220:0.369095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actúa como un profesor de matemática. Explica qué es un límite :@0.139883:0.414839:0.635834:0.414839:0.635834:0.398450:0.139883:0.398450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cómo resolver un límite con una indeterminación de la forma 0/0. :@0.139883:0.431435:0.635843:0.431435:0.635843:0.415046:0.139883:0.415046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, necesito  dos  ejemplos  resueltos  paso  a  paso,  presenta :@0.139883:0.448032:0.635777:0.448032:0.635777:0.431643:0.139883:0.431643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la información en una tabla muy bien organizada.:@0.139883:0.464628:0.503015:0.464628:0.503015:0.448239:0.139883:0.448239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resultados obtenidos de la IA:@0.072324:0.501901:0.336132:0.501901:0.336132:0.483207:0.072324:0.483207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.072324:0.530656:0.087232:0.530656:0.087232:0.513756:0.072324:0.513756:0.000000:0.000000
De nición:@0.100813:0.530656:0.184843:0.530656:0.184843:0.513521:0.100813:0.513521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un límite?:@0.110908:0.552678:0.228838:0.552678:0.228838:0.538850:0.110908:0.538850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En matemáticas, el :@0.110908:0.569821:0.227000:0.569821:0.227000:0.556412:0.110908:0.556412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite:@0.227422:0.569821:0.264784:0.569821:0.264784:0.555994:0.227422:0.555994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de una función describe el valor al que se acerca una :@0.264784:0.569821:0.592680:0.569821:0.592680:0.556412:0.264784:0.556412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función cuando la variable independiente se aproxima a un determinado punto. :@0.110908:0.583400:0.592695:0.583400:0.592695:0.569991:0.110908:0.569991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es fundamental en el cálculo diferencial e integral.:@0.110908:0.596979:0.410245:0.596979:0.410245:0.583570:0.110908:0.583570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo resolver un límite con indeterminación 0/0?:@0.110908:0.614122:0.440868:0.614122:0.440868:0.600295:0.110908:0.600295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando al sustituir el valor en el límite obtendremos una forma 0/0, signica que :@0.110908:0.631266:0.592698:0.631266:0.592698:0.617857:0.110908:0.617857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545733:0.631266:0.549035:0.631266:0.549035:0.617857:0.545733:0.617857:0.000000
es una :@0.110908:0.644845:0.153380:0.644845:0.153380:0.631435:0.110908:0.631435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indeterminación:@0.153380:0.644845:0.261438:0.644845:0.261438:0.631017:0.153380:0.631017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y debemos aplicar técnicas como::@0.261438:0.644845:0.468024:0.644845:0.468024:0.631435:0.261438:0.631435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   • Factorización:@0.110908:0.661988:0.206993:0.661988:0.206993:0.648579:0.110908:0.648579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   • Simplicación algebraica:@0.110908:0.675567:0.277041:0.675567:0.277041:0.662158:0.110908:0.662158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.168652:0.675567:0.171953:0.675567:0.171953:0.662158:0.168652:0.662158:0.000000
   • Regla de L’Hôpital:@0.110908:0.689146:0.234644:0.689146:0.234644:0.675736:0.110908:0.675736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.072324:0.728220:0.088541:0.728220:0.088541:0.711319:0.072324:0.711319:0.000000:0.000000
Ejemplos resueltos paso a paso:@0.100813:0.728220:0.355021:0.728220:0.355021:0.711084:0.100813:0.711084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características/elementos de esta IA:@0.061931:0.273898:0.384459:0.273898:0.384459:0.255204:0.061931:0.255204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perplexity busca en internet y luego proporciona una respuesta conversacional, vericable y basada en fuentes. :@0.073220:0.296502:0.907677:0.296502:0.907677:0.280113:0.073220:0.280113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.701731:0.296502:0.705767:0.296502:0.705767:0.280113:0.701731:0.280113:0.000000
Además de proporcionar información sugiere documentos, videos, libros y otros enlaces, donde puedes seguir :@0.073220:0.313098:0.907581:0.313098:0.907581:0.296709:0.073220:0.296709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
investigando rápidamente.:@0.073220:0.329694:0.270117:0.329694:0.270117:0.313306:0.073220:0.313306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perplexity es un motor de búsqueda impulsado por IA, diseñado para transformar la manera en que encuentras la :@0.073220:0.210048:0.907679:0.210048:0.907679:0.193660:0.073220:0.193660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
información. Al actuar como un asistente de investigación inteligente, Perplexity te permite ahorrar tiempo valioso :@0.073220:0.226645:0.907712:0.226645:0.907712:0.210256:0.073220:0.210256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la obtención de respuestas precisas.:@0.073220:0.243241:0.358843:0.243241:0.358843:0.226852:0.073220:0.226852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perplexity IA para encontrar límites :@0.071428:0.151975:0.536619:0.151975:0.536619:0.124319:0.071428:0.124319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos históricos:@0.730704:0.528964:0.842578:0.528964:0.842578:0.513376:0.730704:0.513376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Capacidades :@0.741106:0.428057:0.832748:0.428057:0.832748:0.412468:0.741106:0.412468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Perplexity:@0.739062:0.443265:0.831600:0.443265:0.831600:0.427677:0.739062:0.427677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planicador:@0.744280:0.622026:0.828999:0.622026:0.828999:0.606438:0.744280:0.606438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Creativo:@0.757232:0.715469:0.816031:0.715469:0.816031:0.699880:0.757232:0.699880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Programación:@0.737205:0.809621:0.836075:0.809621:0.836075:0.794032:0.737205:0.794032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Análisis :@0.759494:0.894216:0.816976:0.894216:0.816976:0.878628:0.759494:0.878628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estadístico:@0.748653:0.909425:0.824625:0.909425:0.824625:0.893836:0.748653:0.893836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.105615:0.760202:0.145157:0.760202:0.145157:0.749447:0.105615:0.749447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1: :@0.177007:0.755176:0.214684:0.755176:0.214684:0.744422:0.177007:0.744422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planteamiento:@0.159499:0.765236:0.229777:0.765236:0.229777:0.754481:0.159499:0.754481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2: :@0.269612:0.750151:0.307290:0.750151:0.307290:0.739396:0.269612:0.739396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sustitución :@0.258671:0.760211:0.318243:0.760211:0.318243:0.749456:0.258671:0.749456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
directa:@0.269518:0.770270:0.304968:0.770270:0.304968:0.759515:0.269518:0.759515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3: Resolución:@0.382270:0.760211:0.475485:0.760211:0.475485:0.749456:0.382270:0.749456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4: :@0.536558:0.750151:0.574236:0.750151:0.574236:0.739396:0.536558:0.739396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resultado:@0.528772:0.760211:0.579607:0.760211:0.579607:0.749456:0.528772:0.749456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nal:@0.543067:0.770270:0.565300:0.770270:0.565300:0.759515:0.543067:0.759515:0.000000:0.000000:0.000000:0.000000
 :@0.546344:0.770270:0.548772:0.770270:0.548772:0.759515:0.546344:0.759515:0.000000
1:@0.122116:0.815239:0.128656:0.815239:0.128656:0.803320:0.122116:0.803320:0.000000
2:@0.266114:0.802660:0.271510:0.802660:0.271510:0.792826:0.266114:0.792826:0.000000
4:@0.285087:0.802660:0.290483:0.802660:0.290483:0.792826:0.285087:0.792826:0.000000
22:@0.268659:0.814423:0.288251:0.814423:0.288251:0.804590:0.268659:0.804590:0.000000:0.000000
0:@0.302300:0.802660:0.307695:0.802660:0.307695:0.792826:0.302300:0.792826:0.000000
0:@0.302300:0.814423:0.307695:0.814423:0.307695:0.804590:0.302300:0.804590:0.000000
2:@0.271360:0.798062:0.274487:0.798062:0.274487:0.792363:0.271360:0.792363:0.000000
−:@0.277297:0.802411:0.283367:0.802411:0.283367:0.792245:0.277297:0.792245:0.000000
−:@0.275412:0.814174:0.281482:0.814174:0.281482:0.804009:0.275412:0.804009:0.000000
=:@0.293445:0.807668:0.299515:0.807668:0.299515:0.797503:0.293445:0.797503:0.000000
(:@0.265235:0.826398:0.268917:0.826398:0.268917:0.813407:0.265235:0.813407:0.000000
):@0.342100:0.826398:0.345782:0.826398:0.345782:0.813407:0.342100:0.813407:0.000000
indeterminacin:@0.269287:0.825597:0.341918:0.825597:0.341918:0.815763:0.269287:0.815763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(indeterminación):@0.241560:0.828462:0.332894:0.828462:0.332894:0.816543:0.241560:0.816543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizamos el numerador :@0.338577:0.783380:0.487285:0.783380:0.487285:0.771461:0.338577:0.771461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.338577:0.794696:0.344005:0.794696:0.344005:0.782797:0.338577:0.782797:0.000000
 – 4 = (  –2)(  + 2).:@0.344005:0.794696:0.444774:0.794696:0.444774:0.782777:0.344005:0.782777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384358:0.794696:0.389786:0.794696:0.389786:0.782797:0.384358:0.782797:0.000000
x:@0.413065:0.794696:0.418492:0.794696:0.418492:0.782797:0.413065:0.782797:0.000000
Simpli camos: :@0.338577:0.809572:0.418533:0.809572:0.418533:0.797653:0.338577:0.797653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.424721:0.804836:0.428133:0.804836:0.428133:0.797357:0.424721:0.797357:0.000000
x:@0.447365:0.804836:0.450777:0.804836:0.450777:0.797357:0.447365:0.797357:0.000000
x:@0.436111:0.814339:0.439522:0.814339:0.439522:0.806860:0.436111:0.806860:0.000000
−:@0.430010:0.804647:0.434635:0.804647:0.434635:0.796902:0.430010:0.796902:0.000000
(:@0.420845:0.805447:0.423650:0.805447:0.423650:0.795549:0.420845:0.795549:0.000000
)(:@0.440060:0.805447:0.446289:0.805447:0.446289:0.795549:0.440060:0.795549:0.000000:0.000000
+:@0.452651:0.804647:0.457276:0.804647:0.457276:0.796902:0.452651:0.796902:0.000000
):@0.462843:0.805447:0.465648:0.805447:0.465648:0.795549:0.462843:0.795549:0.000000
−:@0.441401:0.814148:0.446026:0.814148:0.446026:0.806403:0.441401:0.806403:0.000000
2:@0.435681:0.804835:0.439792:0.804835:0.439792:0.797343:0.435681:0.797343:0.000000
2:@0.458469:0.804835:0.462580:0.804835:0.462580:0.797343:0.458469:0.797343:0.000000
2:@0.447071:0.814338:0.451182:0.814338:0.451182:0.806846:0.447071:0.806846:0.000000
 =   + 2 :@0.467946:0.809581:0.510564:0.809581:0.510564:0.797662:0.467946:0.797662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.481803:0.809581:0.487231:0.809581:0.487231:0.797682:0.481803:0.797682:0.000000
(para   ≠ 2):@0.338577:0.820897:0.397961:0.820897:0.397961:0.808978:0.338577:0.808978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368584:0.820897:0.374012:0.820897:0.374012:0.808998:0.368584:0.808998:0.000000
Ahora evaluamos el límite:   + 2 :@0.338577:0.835773:0.510762:0.835773:0.510762:0.823854:0.338577:0.823854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482001:0.835773:0.487429:0.835773:0.487429:0.823874:0.482001:0.823874:0.000000
cuando :@0.338577:0.847089:0.382294:0.847089:0.382294:0.835170:0.338577:0.835170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.382294:0.847089:0.387722:0.847089:0.387722:0.835190:0.382294:0.835190:0.000000
→:@0.390657:0.846787:0.403884:0.846787:0.403884:0.834466:0.390657:0.834466:0.000000
 2:@0.403884:0.847089:0.413360:0.847089:0.413360:0.835170:0.403884:0.835170:0.000000:0.000000
2 + 2 = 4:@0.530506:0.782745:0.577841:0.782745:0.577841:0.770826:0.530506:0.770826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.122122:0.891748:0.128663:0.891748:0.128663:0.879829:0.122122:0.879829:0.000000
log 5:@0.266252:0.879009:0.286799:0.879009:0.286799:0.870749:0.266252:0.870749:0.000000:0.000000:0.000000:0.000000:0.000000
log 20:@0.302139:0.879009:0.327191:0.879009:0.327191:0.870749:0.302139:0.870749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 5:@0.274958:0.890950:0.294742:0.890950:0.294742:0.882690:0.274958:0.882690:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.302347:0.890950:0.314365:0.890950:0.314365:0.882690:0.302347:0.882690:0.000000:0.000000:0.000000
. 1 861:@0.294750:0.902535:0.309830:0.902535:0.309830:0.894275:0.294750:0.894275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 20:@0.267307:0.898475:0.281646:0.898475:0.281646:0.893688:0.267307:0.893688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 5:@0.268733:0.903804:0.280489:0.903804:0.280489:0.899016:0.268733:0.899016:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.286938:0.875147:0.289118:0.875147:0.289118:0.870368:0.286938:0.870368:0.000000
x:@0.267254:0.890950:0.271015:0.890950:0.271015:0.882704:0.267254:0.882704:0.000000
( ):@0.278732:0.880507:0.294252:0.880507:0.294252:0.867092:0.278732:0.867092:0.000000:0.000000:0.000000
=:@0.295855:0.878800:0.300954:0.878800:0.300954:0.870261:0.295855:0.870261:0.000000
( ):@0.314616:0.879682:0.330878:0.879682:0.330878:0.868769:0.314616:0.868769:0.000000:0.000000:0.000000
⇒:@0.332187:0.878800:0.341354:0.878800:0.341354:0.870261:0.332187:0.870261:0.000000
=:@0.296068:0.890741:0.301167:0.890741:0.301167:0.882202:0.296068:0.882202:0.000000
⇒:@0.327757:0.890741:0.336924:0.890741:0.336924:0.882202:0.327757:0.882202:0.000000
≈:@0.284273:0.902326:0.289372:0.902326:0.289372:0.893787:0.284273:0.893787:0.000000
 20:@0.315249:0.890950:0.326301:0.890950:0.326301:0.882690:0.315249:0.882690:0.000000:0.000000:0.000000
x=:@0.338682:0.890950:0.348118:0.890950:0.348118:0.882690:0.338682:0.882690:0.000000:0.000000
 :@0.274774:0.898475:0.275952:0.898475:0.275952:0.893688:0.274774:0.893688:0.000000
 :@0.276200:0.903804:0.277379:0.903804:0.277379:0.899016:0.276200:0.899016:0.000000
(indeterminación):@0.241560:0.904344:0.332894:0.904344:0.332894:0.892425:0.241560:0.892425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizamos el numerador :@0.338577:0.859906:0.487285:0.859906:0.487285:0.847987:0.338577:0.847987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.338577:0.871222:0.344005:0.871222:0.344005:0.859322:0.338577:0.859322:0.000000
 – 1 = (  –1)(  + 1).:@0.344005:0.871222:0.444774:0.871222:0.444774:0.859302:0.344005:0.859302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384358:0.871222:0.389786:0.871222:0.389786:0.859322:0.384358:0.859322:0.000000
x:@0.413065:0.871222:0.418492:0.871222:0.418492:0.859322:0.413065:0.859322:0.000000
Simpli camos: :@0.338577:0.886098:0.418533:0.886098:0.418533:0.874179:0.338577:0.874179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.423528:0.880219:0.427217:0.880219:0.427217:0.872132:0.423528:0.872132:0.000000
x:@0.448014:0.880219:0.451703:0.880219:0.451703:0.872132:0.448014:0.872132:0.000000
x:@0.435846:0.890493:0.439535:0.890493:0.439535:0.882405:0.435846:0.882405:0.000000
−:@0.429248:0.880014:0.434248:0.880014:0.434248:0.871639:0.429248:0.871639:0.000000
(:@0.419335:0.880879:0.422368:0.880879:0.422368:0.870176:0.419335:0.870176:0.000000
)(:@0.440113:0.880879:0.446850:0.880879:0.446850:0.870176:0.440113:0.870176:0.000000:0.000000
+:@0.453728:0.880014:0.458729:0.880014:0.458729:0.871639:0.453728:0.871639:0.000000
):@0.464750:0.880879:0.467783:0.880879:0.467783:0.870176:0.464750:0.870176:0.000000
−:@0.441566:0.890288:0.446566:0.890288:0.446566:0.881913:0.441566:0.881913:0.000000
1:@0.435381:0.880478:0.439826:0.880478:0.439826:0.872377:0.435381:0.872377:0.000000
1:@0.460021:0.880478:0.464466:0.880478:0.464466:0.872377:0.460021:0.872377:0.000000
1:@0.447699:0.890493:0.452144:0.890493:0.452144:0.882391:0.447699:0.882391:0.000000
 =   + 1 :@0.469726:0.886098:0.512344:0.886098:0.512344:0.874179:0.469726:0.874179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.483584:0.886098:0.489012:0.886098:0.489012:0.874199:0.483584:0.874199:0.000000
(para   ≠ 1):@0.338575:0.897414:0.397959:0.897414:0.397959:0.885494:0.338575:0.885494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368582:0.897414:0.374010:0.897414:0.374010:0.885515:0.368582:0.885515:0.000000
Ahora evaluamos el límite:   + 1 :@0.338575:0.912290:0.510760:0.912290:0.510760:0.900371:0.338575:0.900371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482000:0.912290:0.487428:0.912290:0.487428:0.900391:0.482000:0.900391:0.000000
cuando :@0.338575:0.923606:0.382292:0.923606:0.382292:0.911687:0.338575:0.911687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.382292:0.923606:0.387720:0.923606:0.387720:0.911707:0.382292:0.911707:0.000000
→:@0.390655:0.923304:0.403883:0.923304:0.403883:0.910982:0.390655:0.910982:0.000000
 1:@0.403883:0.923606:0.413358:0.923606:0.413358:0.911687:0.403883:0.911687:0.000000:0.000000
1 + 1 = 2:@0.530504:0.860972:0.577840:0.860972:0.577840:0.849053:0.530504:0.849053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.161177:0.812743:0.179449:0.812743:0.179449:0.799632:0.161177:0.799632:0.000000:0.000000:0.000000
x:@0.179856:0.814346:0.183316:0.814346:0.183316:0.806761:0.179856:0.806761:0.000000
x:@0.202010:0.807684:0.205470:0.807684:0.205470:0.800098:0.202010:0.800098:0.000000
x:@0.204274:0.814757:0.207734:0.814757:0.207734:0.807171:0.204274:0.807171:0.000000
→:@0.184342:0.814154:0.192774:0.814154:0.192774:0.806299:0.184342:0.806299:0.000000
−:@0.210639:0.807492:0.215330:0.807492:0.215330:0.799637:0.210639:0.799637:0.000000
−:@0.208879:0.814564:0.213570:0.814564:0.213570:0.806709:0.208879:0.806709:0.000000
2:@0.192962:0.814346:0.197132:0.814346:0.197132:0.806748:0.192962:0.806748:0.000000
4:@0.215911:0.807684:0.220080:0.807684:0.220080:0.800085:0.215911:0.800085:0.000000
2:@0.213903:0.814757:0.218072:0.814757:0.218072:0.807158:0.213903:0.807158:0.000000
2:@0.206158:0.804374:0.209162:0.804374:0.209162:0.798899:0.206158:0.798899:0.000000
lim:@0.165198:0.888517:0.183463:0.888517:0.183463:0.875406:0.165198:0.875406:0.000000:0.000000:0.000000
x:@0.183877:0.890120:0.187337:0.890120:0.187337:0.882534:0.183877:0.882534:0.000000
x:@0.204271:0.883458:0.207731:0.883458:0.207731:0.875872:0.204271:0.875872:0.000000
x:@0.206278:0.890530:0.209739:0.890530:0.209739:0.882945:0.206278:0.882945:0.000000
→:@0.188354:0.889928:0.196786:0.889928:0.196786:0.882073:0.188354:0.882073:0.000000
−:@0.212900:0.883265:0.217590:0.883265:0.217590:0.875410:0.212900:0.875410:0.000000
−:@0.210892:0.890338:0.215583:0.890338:0.215583:0.882483:0.210892:0.882483:0.000000
1:@0.196445:0.890120:0.200614:0.890120:0.200614:0.882522:0.196445:0.882522:0.000000
1:@0.217385:0.883458:0.221555:0.883458:0.221555:0.875859:0.217385:0.875859:0.000000
1:@0.215378:0.890530:0.219547:0.890530:0.219547:0.882932:0.215378:0.882932:0.000000
2:@0.208419:0.880148:0.211423:0.880148:0.211423:0.874673:0.208419:0.874673:0.000000