﻿Unidad 2:@0.089098:0.107978:0.304309:0.107978:0.304309:0.057992:0.089098:0.057992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ya que hemos visto cómo se ha perfilado la idea de función, veamos ahora cómo se llega a :@0.089098:0.125633:0.695676:0.125633:0.695676:0.111349:0.089098:0.111349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la noción rigurosa de función continua. El concepto de función ha evolucionado desde dos :@0.089098:0.140762:0.695702:0.140762:0.695702:0.126478:0.089098:0.126478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ideas principales. Por un lado, Newton consideraba que una curva asociada a la gráfica de :@0.089098:0.155891:0.695440:0.155891:0.695440:0.141607:0.089098:0.141607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función se generaba por el movimiento continuo de un punto, lo que permitía dibujarla :@0.089098:0.171020:0.694862:0.171020:0.694862:0.156736:0.089098:0.156736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sin levantar el lápiz del papel. Por otro lado, Euler vinculaba el concepto de función con una :@0.089098:0.186149:0.695704:0.186149:0.695704:0.171865:0.089098:0.171865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sola expresión analítica. Sin embargo, la resolución de ecuaciones en derivadas parciales, :@0.089098:0.201278:0.695038:0.201278:0.695038:0.186994:0.089098:0.186994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como la ecuación de la cuerda vibrante estudiada por J. d’Alembert, permitió ampliar esta :@0.089098:0.216407:0.695610:0.216407:0.695610:0.202123:0.089098:0.202123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
idea. Se empezaron a admitir funciones con puntos angulosos, como el caso de una cuerda :@0.089098:0.231536:0.695801:0.231536:0.695801:0.217252:0.089098:0.217252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de guitarra tensa, y que tuvieran diferentes expresiones analíticas en distintas partes del :@0.089098:0.246665:0.695363:0.246665:0.695363:0.232381:0.089098:0.232381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio, lo que abrió la puerta a la aceptación de funciones discontinuas como la que se :@0.089098:0.261794:0.695338:0.261794:0.695338:0.247509:0.089098:0.247509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra a continuación::@0.089098:0.276923:0.248287:0.276923:0.248287:0.262638:0.089098:0.262638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.288633:0.322309:0.305099:0.322309:0.305099:0.307395:0.288633:0.307395:0.000000:0.000000:0.000000
( )=:@0.292833:0.322839:0.324460:0.322839:0.324460:0.306790:0.292833:0.306790:0.000000:0.000000:0.000000:0.000000
∙:@0.324395:0.337766:0.335540:0.337766:0.335540:0.289618:0.324395:0.289618:0.000000
x         :@0.335289:0.307487:0.388468:0.307487:0.388468:0.291081:0.335289:0.291081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si 0 :@0.390308:0.307487:0.425135:0.307487:0.425135:0.291774:0.390308:0.291774:0.000000:0.000000:0.000000:0.000000:0.000000
≤ <:@0.426865:0.308069:0.468502:0.308069:0.468502:0.290415:0.426865:0.290415:0.000000:0.000000:0.000000
x:@0.443947:0.307487:0.451402:0.307487:0.451402:0.291081:0.443947:0.291081:0.000000
1:@0.470251:0.307487:0.479234:0.307487:0.479234:0.291774:0.470251:0.291774:0.000000
x:@0.335289:0.321355:0.342744:0.321355:0.342744:0.304949:0.335289:0.304949:0.000000
+1    si 1:@0.344511:0.321355:0.420220:0.321355:0.420220:0.305642:0.344511:0.305642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ <:@0.421914:0.321938:0.463551:0.321938:0.463551:0.304283:0.421914:0.304283:0.000000:0.000000:0.000000
x:@0.438995:0.321355:0.446450:0.321355:0.446450:0.304949:0.438995:0.304949:0.000000
2:@0.465299:0.321355:0.474282:0.321355:0.474282:0.305642:0.465299:0.305642:0.000000
– +:@0.335271:0.335806:0.370778:0.335806:0.370778:0.318152:0.335271:0.318152:0.000000:0.000000:0.000000
x:@0.346223:0.335223:0.353678:0.335223:0.353678:0.318817:0.346223:0.318817:0.000000
1 si 2:@0.372527:0.335223:0.418103:0.335223:0.418103:0.319511:0.372527:0.319511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ ≤:@0.419833:0.335806:0.461471:0.335806:0.461471:0.318152:0.419833:0.318152:0.000000:0.000000:0.000000
x:@0.436915:0.335223:0.444370:0.335223:0.444370:0.318817:0.436915:0.318817:0.000000
3:@0.463219:0.335223:0.472202:0.335223:0.472202:0.319511:0.463219:0.319511:0.000000
La cual está definida en el intervalo  0,3  y es discontinua en :@0.089098:0.358881:0.487498:0.358881:0.487498:0.344597:0.089098:0.344597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.323406:0.359411:0.328978:0.359411:0.328978:0.343361:0.323406:0.343361:0.000000
]:@0.347921:0.359411:0.353493:0.359411:0.353493:0.343361:0.347921:0.343361:0.000000
x:@0.487297:0.358881:0.494074:0.358881:0.494074:0.343967:0.487297:0.343967:0.000000
=:@0.494007:0.359411:0.507947:0.359411:0.507947:0.343361:0.494007:0.343361:0.000000
1 y :@0.507863:0.358881:0.530521:0.358881:0.530521:0.344597:0.507863:0.344597:0.000000:0.000000:0.000000:0.000000
x:@0.530420:0.358881:0.537197:0.358881:0.537197:0.343967:0.530420:0.343967:0.000000
=:@0.537131:0.359411:0.551070:0.359411:0.551070:0.343361:0.537131:0.343361:0.000000
2.:@0.550986:0.358881:0.561997:0.358881:0.561997:0.344597:0.550986:0.344597:0.000000:0.000000
Entre tanto, P. G. L. Dirichlet, apoyándose en la distribución densa de los racionales en el :@0.089081:0.377578:0.695568:0.377578:0.695568:0.363294:0.089081:0.363294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de los números reales, definió una función :@0.089081:0.392707:0.433170:0.392707:0.433170:0.378423:0.089081:0.378423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.432510:0.392707:0.448977:0.392707:0.448977:0.377792:0.432510:0.377792:0.000000:0.000000:0.000000
( ):@0.436711:0.393236:0.454482:0.393236:0.454482:0.377187:0.436711:0.377187:0.000000:0.000000:0.000000
, definida en los reales tal que a cada :@0.454398:0.392707:0.695493:0.392707:0.695493:0.378423:0.454398:0.378423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número racional :@0.089065:0.407836:0.201225:0.407836:0.201225:0.393552:0.089065:0.393552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(ℚ):@0.201064:0.408365:0.225981:0.408365:0.225981:0.392316:0.201064:0.392316:0.000000:0.000000:0.000000
 le corresponde 1 y a los irracionales 0::@0.225897:0.407836:0.477354:0.407836:0.477354:0.393552:0.225897:0.393552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.314503:0.445242:0.331488:0.445242:0.331488:0.430958:0.314503:0.430958:0.000000:0.000000:0.000000
( )=:@0.318820:0.445772:0.350849:0.445772:0.350849:0.429722:0.318820:0.429722:0.000000:0.000000:0.000000:0.000000
∙:@0.350780:0.451980:0.358209:0.451980:0.358209:0.419881:0.350780:0.419881:0.000000
1 si   :@0.358042:0.435468:0.403324:0.435468:0.403324:0.421183:0.358042:0.421183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391275:0.435468:0.398053:0.435468:0.398053:0.420553:0.391275:0.420553:0.000000
∈ ℚ:@0.404930:0.435997:0.438582:0.435997:0.438582:0.419948:0.404930:0.419948:0.000000:0.000000:0.000000
0 si   :@0.358042:0.450597:0.403324:0.450597:0.403324:0.436312:0.358042:0.436312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391275:0.450597:0.398053:0.450597:0.398053:0.435682:0.391275:0.435682:0.000000
∈ ℝ–ℚ:@0.404930:0.451126:0.462210:0.451126:0.462210:0.435077:0.404930:0.435077:0.000000:0.000000:0.000000:0.000000:0.000000
Esta función definida de   no era continua para ningún   perteneciente a  .:@0.089095:0.474677:0.592099:0.474677:0.592099:0.460393:0.089095:0.460393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.251297:0.475206:0.263379:0.475206:0.263379:0.459157:0.251297:0.459157:0.000000
x:@0.458897:0.474677:0.465674:0.474677:0.465674:0.459762:0.458897:0.459762:0.000000
ℝ:@0.577189:0.475206:0.589271:0.475206:0.589271:0.459157:0.577189:0.459157:0.000000
Límites y continuidad de funciones:@0.320280:0.094189:0.695377:0.094189:0.695377:0.071539:0.320280:0.071539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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