:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
En un contexto real, :@0.111771:0.192000:0.247832:0.192000:0.247832:0.177101:0.111771:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿dónde encuentras :@0.115322:0.205830:0.247834:0.205830:0.247834:0.190931:0.115322:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales de límites?:@0.120599:0.219661:0.244163:0.219661:0.244163:0.204762:0.120599:0.204762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.296557:0.068421:0.253732:0.056510:0.253732:0.056510:0.296557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La primera persona en :@0.094684:0.638561:0.247834:0.638561:0.247834:0.623662:0.094684:0.623662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignar un significado :@0.098889:0.652391:0.247833:0.652391:0.247833:0.637492:0.098889:0.637492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático riguroso a :@0.092908:0.666221:0.247833:0.666221:0.247833:0.651322:0.092908:0.651322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite fue  el francés :@0.111168:0.680051:0.247834:0.680051:0.247834:0.665152:0.111168:0.665152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Augustin Louis Cauchy.:@0.089625:0.693882:0.244164:0.693882:0.244164:0.678983:0.089625:0.678983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su definición es la que se :@0.076675:0.707712:0.247834:0.707712:0.247834:0.692813:0.076675:0.692813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea en la actualidad.:@0.081969:0.721542:0.244162:0.721542:0.244162:0.706643:0.081969:0.706643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.100947:0.606118:0.237007:0.606118:0.237007:0.589218:0.100947:0.589218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.345787:0.480398:0.345787:0.480398:0.330422:0.306727:0.330422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.346574:0.297460:0.346574:0.297460:0.329438:0.284892:0.329438:0.000000
Definición:@0.287495:0.376916:0.391699:0.376916:0.391699:0.355406:0.287495:0.355406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que  ( ) está denida cuando   está cerca del número  . Esto signica :@0.287495:0.399697:0.907733:0.399697:0.907733:0.383308:0.287495:0.383308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.424063:0.399697:0.441108:0.399697:0.441108:0.383336:0.424063:0.383336:0.000000:0.000000:0.000000
 :@0.508793:0.399697:0.512829:0.399697:0.512829:0.383308:0.508793:0.383308:0.000000
x:@0.610956:0.399697:0.618419:0.399697:0.618419:0.383336:0.610956:0.383336:0.000000
c:@0.792634:0.399697:0.800300:0.399697:0.800300:0.383336:0.792634:0.383336:0.000000
 :@0.882653:0.399697:0.886688:0.399697:0.886688:0.383308:0.882653:0.383308:0.000000
que   está denida en algún intervalo abierto que contiene a  , excepto posiblemen-:@0.287495:0.416294:0.903548:0.416294:0.903548:0.399905:0.287495:0.399905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.319983:0.416294:0.324682:0.416294:0.324682:0.399932:0.319983:0.399932:0.000000
 :@0.385530:0.416294:0.389566:0.416294:0.389566:0.399905:0.385530:0.399905:0.000000
c:@0.732650:0.416294:0.740316:0.416294:0.740316:0.399932:0.732650:0.399932:0.000000
te en   misma. Entonces: :@0.287495:0.432890:0.472120:0.432890:0.472120:0.416501:0.287495:0.416501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.328902:0.432890:0.336568:0.432890:0.336568:0.416529:0.328902:0.416529:0.000000
lim( ):@0.557090:0.449486:0.609554:0.449486:0.609554:0.433097:0.557090:0.433097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558189:0.456048:0.562514:0.456048:0.562514:0.446566:0.558189:0.446566:0.000000
c:@0.574732:0.456048:0.579175:0.456048:0.579175:0.446566:0.574732:0.446566:0.000000
fx:@0.581537:0.449486:0.602876:0.449486:0.602876:0.433125:0.581537:0.433125:0.000000:0.000000
L:@0.625560:0.449486:0.633190:0.449486:0.633190:0.433125:0.625560:0.433125:0.000000
→:@0.563791:0.455807:0.574332:0.455807:0.574332:0.445989:0.563791:0.445989:0.000000
=:@0.612529:0.449071:0.622646:0.449071:0.622646:0.432129:0.612529:0.432129:0.000000
Se lee: “El límite de  ( ), cuando   tienda a  , es igual a  ”.:@0.287495:0.475616:0.691649:0.475616:0.691649:0.459227:0.287495:0.459227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.426641:0.475616:0.443686:0.475616:0.443686:0.459254:0.426641:0.459254:0.000000:0.000000:0.000000
x:@0.515923:0.475616:0.523386:0.475616:0.523386:0.459254:0.515923:0.459254:0.000000
c:@0.590610:0.475616:0.598276:0.475616:0.598276:0.459254:0.590610:0.459254:0.000000
L:@0.677736:0.475616:0.685365:0.475616:0.685365:0.459254:0.677736:0.459254:0.000000
Signica que sí podemos hacer que los valores de  ( ) estén arbitrariamente cercanos :@0.287495:0.499335:0.907751:0.499335:0.907751:0.482946:0.287495:0.482946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.327963:0.499335:0.331998:0.499335:0.331998:0.482946:0.327963:0.482946:0.000000
f x:@0.651699:0.499335:0.668745:0.499335:0.668745:0.482973:0.651699:0.482973:0.000000:0.000000:0.000000
a   (tan cercanos a  , como queramos), tomando valores de   sucientemente cerca :@0.287495:0.515931:0.907714:0.515931:0.907714:0.499542:0.287495:0.499542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.300210:0.515931:0.307840:0.515931:0.307840:0.499570:0.300210:0.499570:0.000000
L:@0.427951:0.515931:0.435580:0.515931:0.435580:0.499570:0.427951:0.499570:0.000000
x:@0.729132:0.515931:0.736595:0.515931:0.736595:0.499570:0.729132:0.499570:0.000000
 :@0.762062:0.515931:0.766098:0.515931:0.766098:0.499542:0.762062:0.499542:0.000000
de   (por ambos lados de  ), pero no iguales a  .:@0.287495:0.532527:0.637619:0.532527:0.637619:0.516138:0.287495:0.516138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.310493:0.532527:0.318159:0.532527:0.318159:0.516166:0.310493:0.516166:0.000000
c:@0.476876:0.532527:0.484542:0.532527:0.484542:0.516166:0.476876:0.516166:0.000000
c:@0.626746:0.532527:0.634412:0.532527:0.634412:0.516166:0.626746:0.516166:0.000000
Pienso y progreso:@0.294883:0.287459:0.417347:0.287459:0.417347:0.272095:0.294883:0.272095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué pasa si un conductor al acercarse a un semáforo en rojo se detiene sobre el paso cebra?:@0.294883:0.304854:0.896479:0.304854:0.896479:0.289955:0.294883:0.289955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imaginemos un auto que se acerca a un semáforo en rojo. La distancia entre el auto :@0.287495:0.168345:0.907731:0.168345:0.907731:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el semáforo disminuye cada vez más: 100 metros, 50 metros, 10 metros, 1 metro… :@0.287495:0.184941:0.907655:0.184941:0.907655:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903620:0.184941:0.907655:0.184941:0.907655:0.168553:0.903620:0.168553:0.000000
aunque el auto no tope directamente las líneas del  paso cebra, se acerca cada vez más. :@0.287495:0.201538:0.907654:0.201538:0.907654:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El límite es la distancia cero, el punto al que tiende la distancia conforme pasa el tiempo. :@0.287495:0.218134:0.907679:0.218134:0.907679:0.201745:0.287495:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este ejemplo muestra cómo una cantidad puede acercarse a un valor sin necesaria-:@0.287495:0.241853:0.903622:0.241853:0.903622:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente alcanzarlo en un instante dado.:@0.287495:0.258450:0.568550:0.258450:0.568550:0.242061:0.287495:0.242061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Denición intuitiva de límites. :@0.286308:0.060073:0.735942:0.060073:0.735942:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.336505:0.060073:0.343581:0.060073:0.343581:0.026520:0.336505:0.026520:0.000000
Propiedades:@0.286308:0.090250:0.471837:0.090250:0.471837:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.307928:0.563560:0.432799:0.563560:0.432799:0.548196:0.307928:0.548196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.286333:0.564346:0.298421:0.564346:0.298421:0.547210:0.286333:0.547210:0.000000
Ejemplos paso a paso:@0.286559:0.589659:0.441452:0.589659:0.441452:0.574295:0.286559:0.574295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.286559:0.615479:0.300785:0.615479:0.300785:0.598578:0.286559:0.598578:0.000000:0.000000
  Calculemos el de lim:@0.300785:0.615479:0.469050:0.615371:0.469050:0.598982:0.300785:0.599090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.448521:0.621932:0.452846:0.621932:0.452846:0.612450:0.448521:0.612450:0.000000
x:@0.476635:0.606609:0.484098:0.606609:0.484098:0.590247:0.476635:0.590247:0.000000
x:@0.472970:0.626215:0.480433:0.626215:0.480433:0.609854:0.472970:0.609854:0.000000
→:@0.454123:0.621692:0.464664:0.621692:0.464664:0.611873:0.454123:0.611873:0.000000
−:@0.488204:0.606194:0.498321:0.606194:0.498321:0.589252:0.488204:0.589252:0.000000
−:@0.491927:0.625805:0.502043:0.625805:0.502043:0.608863:0.491927:0.608863:0.000000
1:@0.464227:0.621932:0.469438:0.621932:0.469438:0.612434:0.464227:0.612434:0.000000
2:@0.482029:0.618550:0.487241:0.618550:0.487241:0.609052:0.482029:0.609052:0.000000
1:@0.499460:0.606609:0.508453:0.606609:0.508453:0.590220:0.499460:0.590220:0.000000
1:@0.503176:0.626215:0.512169:0.626215:0.512169:0.609826:0.503176:0.609826:0.000000
Paso 1.:@0.292322:0.647303:0.344573:0.647303:0.344573:0.631725:0.292322:0.631725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos que la función no está denida cuando   = 1, sin embargo, no :@0.347957:0.647303:0.843553:0.647303:0.843553:0.632404:0.347957:0.632404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.601365:0.647303:0.605034:0.647303:0.605034:0.632404:0.601365:0.632404:0.000000
x:@0.692934:0.647303:0.699718:0.647303:0.699718:0.632429:0.692934:0.632429:0.000000
interesa, porque la denición de :@0.292322:0.662390:0.510100:0.662390:0.510100:0.647491:0.292322:0.647491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.440127:0.662390:0.443795:0.662390:0.443795:0.647491:0.440127:0.647491:0.000000
lim( ):@0.512408:0.662278:0.559625:0.662278:0.559625:0.647528:0.512408:0.647528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.513396:0.668184:0.517289:0.668184:0.517289:0.659650:0.513396:0.659650:0.000000
c:@0.528285:0.668184:0.532283:0.668184:0.532283:0.659650:0.528285:0.659650:0.000000
fx:@0.534411:0.662278:0.553616:0.662278:0.553616:0.647553:0.534411:0.647553:0.000000:0.000000
→:@0.518439:0.667968:0.527926:0.667968:0.527926:0.659131:0.518439:0.659131:0.000000
 dice que se consideran los valores de   que están :@0.562870:0.662390:0.897529:0.662390:0.897529:0.647491:0.562870:0.647491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.817503:0.662390:0.824287:0.662390:0.824287:0.647516:0.817503:0.647516:0.000000
cerca de  , pero no iguales a  , en este caso valores cercanos, pero no iguales a 1.:@0.292318:0.678735:0.829363:0.678735:0.829363:0.663836:0.292318:0.663836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.352326:0.678735:0.359295:0.678735:0.359295:0.663861:0.352326:0.663861:0.000000
c:@0.484133:0.678735:0.491102:0.678735:0.491102:0.663861:0.484133:0.663861:0.000000
Paso 2.:@0.292318:0.698978:0.344569:0.698978:0.344569:0.683400:0.292318:0.683400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elaboramos una tabla de valores para valores muy cercanos a 1.:@0.347953:0.698978:0.770243:0.698978:0.770243:0.684079:0.347953:0.684079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.292318:0.805899:0.344569:0.805899:0.344569:0.790321:0.292318:0.790321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos en el plano cartesiano.:@0.347953:0.805899:0.576285:0.805899:0.576285:0.790999:0.347953:0.790999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.375008:0.805899:0.378677:0.805899:0.378677:0.790999:0.375008:0.790999:0.000000
Paso 4.:@0.688781:0.805899:0.741031:0.805899:0.741031:0.790321:0.688781:0.790321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos:@0.744415:0.805899:0.840591:0.805899:0.840591:0.790999:0.744415:0.790999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pregunta.:@0.688781:0.820986:0.768422:0.820986:0.768422:0.806087:0.688781:0.806087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con el análisis de :@0.688781:0.843203:0.886256:0.843203:0.886256:0.828304:0.688781:0.828304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla de valores y del gráco::@0.688781:0.858290:0.895839:0.858290:0.895839:0.843391:0.688781:0.843391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.872487:0.858290:0.876156:0.858290:0.876156:0.843391:0.872487:0.843391:0.000000
lim:@0.732979:0.884707:0.753536:0.884707:0.753536:0.869957:0.732979:0.869957:0.000000:0.000000:0.000000
, 05:@0.839031:0.884707:0.851515:0.884713:0.851515:0.869963:0.839031:0.869957:0.000000:0.000000:0.000000:0.000000
x:@0.735052:0.890612:0.738945:0.890612:0.738945:0.882078:0.735052:0.882078:0.000000
x:@0.760354:0.876822:0.767070:0.876822:0.767070:0.862096:0.760354:0.862096:0.000000
x:@0.757053:0.894472:0.763770:0.894472:0.763770:0.879747:0.757053:0.879747:0.000000
→:@0.740093:0.890396:0.749580:0.890396:0.749580:0.881559:0.740093:0.881559:0.000000
−:@0.770767:0.876448:0.779872:0.876448:0.779872:0.861200:0.770767:0.861200:0.000000
−:@0.774117:0.894098:0.783222:0.894098:0.783222:0.878850:0.774117:0.878850:0.000000
==:@0.793947:0.884334:0.828112:0.884334:0.828112:0.869086:0.793947:0.869086:0.000000:0.000000
1:@0.749186:0.890612:0.753877:0.890612:0.753877:0.882064:0.749186:0.882064:0.000000
2:@0.765209:0.887568:0.769900:0.887568:0.769900:0.879020:0.765209:0.879020:0.000000
1:@0.780897:0.876822:0.788990:0.876822:0.788990:0.862072:0.780897:0.862072:0.000000
1 2:@0.784247:0.894472:0.815095:0.894472:0.815095:0.879722:0.784247:0.879722:0.000000:0.000000:0.000000
1:@0.807665:0.876822:0.815758:0.876822:0.815758:0.862072:0.807665:0.862072:0.000000
Los límites nos enseñan a :@0.071428:0.431776:0.227340:0.431776:0.227340:0.418367:0.071428:0.418367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respetar las normas de tránsito.:@0.071428:0.444348:0.257839:0.444348:0.257839:0.430939:0.071428:0.430939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.317152:0.741667:0.328125:0.741667:0.328125:0.726303:0.317152:0.726303:0.000000:0.000000
0,500:@0.369788:0.741667:0.405404:0.741667:0.405404:0.726768:0.369788:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
0,990:@0.448139:0.741667:0.483755:0.741667:0.483755:0.726768:0.448139:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
0,999:@0.526490:0.741667:0.562106:0.741667:0.562106:0.726768:0.526490:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.618561:0.741667:0.626736:0.741667:0.626736:0.726768:0.618561:0.726768:0.000000
1,001:@0.683192:0.741667:0.718808:0.741667:0.718808:0.726768:0.683192:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
1,010:@0.761543:0.741667:0.797159:0.741667:0.797159:0.726768:0.761543:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
1,100:@0.839894:0.741667:0.875510:0.741667:0.875510:0.726768:0.839894:0.726768:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.309530:0.763053:0.327639:0.763053:0.327639:0.747689:0.309530:0.747689:0.000000:0.000000:0.000000
( ):@0.314690:0.763053:0.332682:0.763053:0.332682:0.747689:0.314690:0.747689:0.000000:0.000000:0.000000
0,666:@0.369771:0.763053:0.405387:0.763053:0.405387:0.748154:0.369771:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
0,502:@0.448122:0.763053:0.483738:0.763053:0.483738:0.748154:0.448122:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
0,500:@0.526473:0.763053:0.562089:0.763053:0.562089:0.748154:0.526473:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
¿?:@0.616249:0.763053:0.629015:0.763053:0.629015:0.748154:0.616249:0.748154:0.000000:0.000000
0,499:@0.683175:0.763053:0.718791:0.763053:0.718791:0.748154:0.683175:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
0,497:@0.761526:0.763053:0.797142:0.763053:0.797142:0.748154:0.761526:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
0,476:@0.839877:0.763053:0.875493:0.763053:0.875493:0.748154:0.839877:0.748154:0.000000:0.000000:0.000000:0.000000:0.000000
0,2:@0.340143:0.893751:0.355015:0.893751:0.355015:0.882870:0.340143:0.882870:0.000000:0.000000:0.000000
0,4:@0.340143:0.877982:0.355015:0.877982:0.355015:0.867100:0.340143:0.867100:0.000000:0.000000:0.000000
0,6:@0.340143:0.861959:0.355015:0.861959:0.355015:0.851077:0.340143:0.851077:0.000000:0.000000:0.000000
0,8:@0.340143:0.846189:0.355015:0.846189:0.355015:0.835308:0.340143:0.835308:0.000000:0.000000:0.000000
1:@0.348828:0.830166:0.355015:0.830166:0.355015:0.819285:0.348828:0.819285:0.000000
–0,1 0:@0.322388:0.916618:0.354424:0.916618:0.354424:0.905737:0.322388:0.905737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 1,1 1,2 1,3:@0.372348:0.916618:0.645365:0.916618:0.645365:0.905737:0.372348:0.905737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.347727:0.815887:0.352381:0.815887:0.352381:0.806358:0.347727:0.806358:0.000000
x:@0.650712:0.915184:0.655366:0.915184:0.655366:0.905655:0.650712:0.905655:0.000000
f x:@0.457849:0.833018:0.470401:0.833018:0.470401:0.820971:0.457849:0.820971:0.000000:0.000000:0.000000
( ) no está denida en 1:@0.461309:0.833018:0.590002:0.833018:0.590002:0.820950:0.461309:0.820950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.348828:0.830166:0.355015:0.830166:0.355015:0.819284:0.348828:0.819284:0.000000
Se aproxima a 1 por la izquierda:@0.333201:0.718239:0.532412:0.718239:0.532412:0.704638:0.333201:0.704638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se aproxima a 1 por la derecha:@0.672919:0.718239:0.864607:0.718239:0.864607:0.704638:0.672919:0.704638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.367463:0.784174:0.382661:0.784174:0.382661:0.770561:0.367463:0.770561:0.000000:0.000000:0.000000
( ) se aproxima a 0,5:@0.371730:0.784174:0.498150:0.784174:0.498150:0.770572:0.371730:0.770572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.703414:0.784174:0.718612:0.784174:0.718612:0.770561:0.703414:0.770561:0.000000:0.000000:0.000000
( ) se aproxima a 0,5:@0.707681:0.784174:0.834101:0.784174:0.834101:0.770572:0.707681:0.770572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.32.:@0.298180:0.946788:0.353208:0.946788:0.353208:0.934325:0.298180:0.934325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.353207:0.946788:0.358567:0.946788:0.358567:0.934496:0.353207:0.934496:0.000000:0.000000
Calcular, de manera intuitiva, el límite de una función cuadrática con el uso de la calculadora como una :@0.358382:0.946788:0.906519:0.946788:0.906519:0.934868:0.358382:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia entre dos números reales.:@0.298180:0.958103:0.485456:0.958103:0.485456:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000