137:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potenciación con exponentes reales:@0.073092:0.136836:0.334666:0.136836:0.334666:0.120402:0.073092:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   > 0 con   ≠ 1 fijo. Para       \ , ¿cómo se define  ?:@0.073092:0.164198:0.495472:0.164199:0.495472:0.147766:0.073092:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.102709:0.164198:0.111968:0.164198:0.111968:0.147792:0.102709:0.147792:0.000000
a:@0.175123:0.164198:0.184382:0.164198:0.184382:0.147792:0.175123:0.147792:0.000000
x:@0.279234:0.164198:0.286689:0.164198:0.286689:0.147792:0.279234:0.147792:0.000000
∈ ℝ ℚ:@0.290518:0.164781:0.346679:0.164781:0.346679:0.147126:0.290518:0.147126:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.474701:0.164198:0.483960:0.164198:0.483960:0.147792:0.474701:0.147792:0.000000
x:@0.483902:0.158135:0.488506:0.158135:0.488506:0.148555:0.483902:0.148555:0.000000
¿Qué significado atribuimos a  ?:@0.073099:0.180841:0.312282:0.180841:0.312282:0.164407:0.073099:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.291520:0.180841:0.300779:0.180841:0.300779:0.164435:0.291520:0.164435:0.000000
x:@0.300712:0.174777:0.305316:0.174777:0.305316:0.165196:0.300712:0.165196:0.000000
Consideramos, por ejemplo, 2   . Tomando aproximaciones de    2  (   2   1,414 213 562), :@0.073098:0.208203:0.710466:0.208204:0.710466:0.191771:0.073098:0.191769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.295200:0.202141:0.300437:0.202141:0.300437:0.192560:0.295200:0.192560:0.000000
≅:@0.579093:0.208787:0.594426:0.208787:0.594426:0.191133:0.579093:0.191133:0.000000
tenemos las siguientes::@0.073096:0.224846:0.241397:0.224846:0.241397:0.208412:0.073096:0.208412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    2,657 376 28,:@0.317839:0.245066:0.461705:0.245062:0.461705:0.228629:0.317839:0.228632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,41:@0.326730:0.238998:0.344179:0.238998:0.344179:0.229418:0.326730:0.229418:0.000000:0.000000:0.000000:0.000000
≅:@0.348077:0.245645:0.363410:0.245645:0.363410:0.227991:0.348077:0.227991:0.000000
2:@0.308188:0.261704:0.317171:0.261704:0.317171:0.245270:0.308188:0.245270:0.000000
1,4142:@0.317089:0.255640:0.344927:0.255640:0.344927:0.246059:0.317089:0.246059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 119 089,:@0.344857:0.261704:0.471352:0.261704:0.471352:0.245270:0.344857:0.245270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.348815:0.262287:0.364148:0.262287:0.364148:0.244632:0.348815:0.244632:0.000000
2:@0.302999:0.278346:0.311982:0.278346:0.311982:0.261912:0.302999:0.261912:0.000000
1,414213:@0.311898:0.272282:0.350124:0.272282:0.350124:0.262701:0.311898:0.262701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 143 104,:@0.350048:0.278346:0.476543:0.278346:0.476543:0.261912:0.350048:0.261912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.354006:0.278928:0.369339:0.278928:0.369339:0.261274:0.354006:0.261274:0.000000
2:@0.297808:0.294988:0.306791:0.294988:0.306791:0.278554:0.297808:0.278554:0.000000
1,41421356:@0.306709:0.288923:0.355323:0.288923:0.355323:0.279342:0.306709:0.279342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 144 138,:@0.355237:0.294987:0.481732:0.294987:0.481732:0.278553:0.355237:0.278553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.359195:0.295569:0.374528:0.295569:0.374528:0.277915:0.359195:0.277915:0.000000
∙:@0.385112:0.312211:0.394316:0.312211:0.394316:0.294557:0.385112:0.294557:0.000000
2      2,665 144 143.:@0.316453:0.328270:0.463094:0.328272:0.463094:0.311838:0.316453:0.311836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331408:0.322206:0.336645:0.322206:0.336645:0.312625:0.331408:0.312625:0.000000
≅:@0.340557:0.328854:0.355890:0.328854:0.355890:0.311200:0.340557:0.311200:0.000000
En definitiva, consideramos aproximaciones de 2  siendo ( ) una:@0.073099:0.355633:0.549041:0.355633:0.549041:0.339200:0.073099:0.339200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.425680:0.349570:0.428760:0.349570:0.428760:0.340005:0.425680:0.340005:0.000000
m:@0.428717:0.352092:0.437238:0.352092:0.437238:0.342527:0.428717:0.342527:0.000000
r:@0.498739:0.355633:0.504022:0.355633:0.504022:0.339227:0.498739:0.339227:0.000000
m:@0.503946:0.358806:0.512467:0.358806:0.512467:0.349241:0.503946:0.349241:0.000000
sucesión de números racionales que son aproximaciones de    2  y que convergen a    2 , :@0.073084:0.382995:0.710653:0.382995:0.710653:0.366562:0.073084:0.366562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de modo que, en forma intuitiva,:@0.073084:0.399637:0.310810:0.399637:0.310810:0.383203:0.073084:0.383203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    = lím 2 , y                 2 .:@0.287105:0.426999:0.492361:0.427002:0.492361:0.410568:0.287105:0.410565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.302082:0.420938:0.307319:0.420938:0.307319:0.411357:0.302082:0.411357:0.000000
rm:@0.361498:0.419677:0.373592:0.419677:0.373592:0.410112:0.361498:0.410112:0.000000:0.000000
r:@0.396548:0.427002:0.401831:0.427002:0.401831:0.410596:0.396548:0.410596:0.000000
m:@0.400385:0.430174:0.408906:0.430174:0.408906:0.420609:0.400385:0.420609:0.000000
:@0.436514:0.426461:0.452915:0.426461:0.452915:0.410665:0.436514:0.410665:0.000000
Observa que       y 2  están bien definidos.:@0.073081:0.471006:0.412298:0.471007:0.412298:0.454573:0.073081:0.454572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.169811:0.471006:0.175094:0.471006:0.175094:0.454599:0.169811:0.454599:0.000000
m:@0.175044:0.474179:0.183564:0.474179:0.183564:0.464614:0.175044:0.464614:0.000000
∈ ℚ:@0.187484:0.471589:0.222016:0.471589:0.222016:0.453935:0.187484:0.453935:0.000000:0.000000:0.000000
r:@0.246730:0.464943:0.249810:0.464943:0.249810:0.455378:0.246730:0.455378:0.000000
m:@0.249767:0.467465:0.258288:0.467465:0.258288:0.457901:0.249767:0.457901:0.000000
De manera general,   se aproxima con una sucesión de números reales de la forma :@0.073096:0.498369:0.682663:0.498370:0.682663:0.481936:0.073096:0.481935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.219194:0.498369:0.228453:0.498369:0.228453:0.481963:0.219194:0.481963:0.000000
x:@0.228383:0.492306:0.232729:0.492306:0.232729:0.482741:0.228383:0.482741:0.000000
a:@0.682416:0.498370:0.691675:0.498370:0.691675:0.481964:0.682416:0.481964:0.000000
r:@0.691615:0.492306:0.694695:0.492306:0.694695:0.482741:0.691615:0.482741:0.000000
m:@0.694652:0.494829:0.703173:0.494829:0.703173:0.485264:0.694652:0.485264:0.000000
, :@0.703138:0.498370:0.710372:0.498370:0.710372:0.481936:0.703138:0.481936:0.000000:0.000000
siendo       aproximación de  , de modo que   converge a   para   que tiende al :@0.073094:0.515012:0.710327:0.515012:0.710327:0.498578:0.073094:0.498578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.127101:0.515012:0.132384:0.515012:0.132384:0.498606:0.127101:0.498606:0.000000
m:@0.132405:0.518184:0.140926:0.518184:0.140926:0.508619:0.132405:0.508619:0.000000
∈ ℚ:@0.145502:0.515594:0.180752:0.515594:0.180752:0.497940:0.145502:0.497940:0.000000:0.000000:0.000000
x:@0.314002:0.515012:0.321457:0.515012:0.321457:0.498606:0.314002:0.498606:0.000000
r:@0.435453:0.515012:0.440736:0.515012:0.440736:0.498606:0.435453:0.498606:0.000000
m:@0.440781:0.518184:0.449302:0.518184:0.449302:0.508619:0.440781:0.508619:0.000000
x:@0.540575:0.515012:0.548030:0.515012:0.548030:0.498606:0.540575:0.498606:0.000000
m:@0.589575:0.515012:0.604190:0.515012:0.604190:0.498606:0.589575:0.498606:0.000000
infinito.:@0.073086:0.531654:0.126820:0.531654:0.126820:0.515220:0.073086:0.515220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.073086:0.559016:0.150592:0.559016:0.150592:0.542582:0.073086:0.542582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea   > 0,   ≠ 1 fijo. La función   de   en :@0.150452:0.559016:0.448502:0.559016:0.448502:0.542582:0.150452:0.542582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.183990:0.559016:0.193249:0.559016:0.193249:0.542610:0.183990:0.542610:0.000000
a:@0.227891:0.559016:0.237150:0.559016:0.237150:0.542610:0.227891:0.542610:0.000000
f:@0.377413:0.559016:0.382107:0.559016:0.382107:0.542610:0.377413:0.542610:0.000000
ℝ:@0.408687:0.559598:0.421977:0.559598:0.421977:0.541944:0.408687:0.541944:0.000000
ℝ:@0.448391:0.559598:0.461682:0.559598:0.461682:0.541944:0.448391:0.541944:0.000000
+:@0.461615:0.551692:0.468010:0.551692:0.468010:0.542111:0.461615:0.542111:0.000000
, definida de la siguiente manera::@0.467963:0.559017:0.706551:0.559017:0.706551:0.542583:0.467963:0.542583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.329835:0.582801:0.346715:0.582801:0.346715:0.566395:0.329835:0.566395:0.000000:0.000000:0.000000
( ) =  ,         ,:@0.334456:0.582801:0.449595:0.582806:0.449595:0.566372:0.334456:0.566367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.370221:0.582801:0.379480:0.582801:0.379480:0.566395:0.370221:0.566395:0.000000
x:@0.379431:0.576742:0.383778:0.576742:0.383778:0.567177:0.379431:0.567177:0.000000
x:@0.402661:0.582806:0.410116:0.582806:0.410116:0.566400:0.402661:0.566400:0.000000
∈ ℝ:@0.414000:0.583388:0.446489:0.583388:0.446489:0.565734:0.414000:0.565734:0.000000:0.000000:0.000000
Se llama función exponencial de base  .:@0.073093:0.610168:0.363025:0.610168:0.363025:0.593734:0.073093:0.593734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.350637:0.610168:0.359896:0.610168:0.359896:0.593762:0.350637:0.593762:0.000000
Dom f:@0.073093:0.630388:0.117988:0.630388:0.117988:0.613982:0.073093:0.613982:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  , :@0.108490:0.630388:0.161852:0.630388:0.161852:0.613954:0.108490:0.613954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.141494:0.630970:0.154784:0.630970:0.154784:0.613316:0.141494:0.613316:0.000000
Rec f:@0.161760:0.630388:0.195501:0.630388:0.195501:0.613982:0.161760:0.613982:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = { ( ) |      } = ]0, ∞[.:@0.186003:0.630388:0.366339:0.630388:0.366339:0.613954:0.186003:0.613954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x x:@0.223811:0.630388:0.264583:0.630388:0.264583:0.613982:0.223811:0.613982:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.268467:0.630970:0.300956:0.630970:0.300956:0.613316:0.268467:0.613316:0.000000:0.000000:0.000000
Ejercicios 2:@0.073056:0.661328:0.156675:0.661328:0.156675:0.644658:0.073056:0.644658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Considerar la función  :   :@0.073092:0.695520:0.288762:0.695520:0.288762:0.678851:0.073092:0.678851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.267925:0.695520:0.272619:0.695520:0.272619:0.679114:0.267925:0.679114:0.000000
ℝ:@0.300119:0.689002:0.313409:0.689002:0.313409:0.671348:0.300119:0.671348:0.000000
   :@0.313409:0.688420:0.337873:0.688420:0.337873:0.671986:0.313409:0.671986:0.000000:0.000000:0.000000
:@0.317441:0.687879:0.333841:0.687879:0.333841:0.672083:0.317441:0.672083:0.000000
ℝ:@0.337873:0.689002:0.351163:0.689002:0.351163:0.671348:0.337873:0.671348:0.000000
+:@0.351171:0.681096:0.357567:0.681096:0.357567:0.671515:0.351171:0.671515:0.000000
x:@0.300126:0.705063:0.307581:0.705063:0.307581:0.688657:0.300126:0.688657:0.000000
    ( ) = 2:@0.307581:0.705063:0.381965:0.705063:0.381965:0.688629:0.307581:0.688629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.311612:0.704522:0.328013:0.704522:0.328013:0.688726:0.311612:0.688726:0.000000
f x:@0.332044:0.705063:0.349071:0.705063:0.349071:0.688657:0.332044:0.688657:0.000000:0.000000:0.000000
x:@0.381966:0.698999:0.386313:0.698999:0.386313:0.689434:0.381966:0.689434:0.000000
 .  Tenemos :@0.392951:0.695520:0.480044:0.695520:0.480044:0.678851:0.392951:0.678851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.479928:0.695520:0.525173:0.695520:0.525173:0.679114:0.479928:0.679114:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  ,:@0.515325:0.695520:0.565798:0.695520:0.565798:0.678851:0.515325:0.678851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.548790:0.696103:0.562080:0.696103:0.562080:0.678448:0.548790:0.678448:0.000000
Rec f :@0.103205:0.730024:0.140185:0.730024:0.140185:0.713618:0.103205:0.713618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[. El grafo de   es el conjunto  ( ) = {( , 2 ) |      }.:@0.127448:0.730024:0.554401:0.730031:0.554401:0.713597:0.127448:0.713591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.289892:0.730024:0.294586:0.730024:0.294586:0.713618:0.289892:0.713618:0.000000
G f:@0.404790:0.730024:0.425111:0.730024:0.425111:0.713618:0.404790:0.713618:0.000000:0.000000:0.000000
x:@0.458226:0.730024:0.465681:0.730024:0.465681:0.713618:0.458226:0.713618:0.000000
x:@0.481590:0.723967:0.486194:0.723967:0.486194:0.714386:0.481590:0.714386:0.000000
x:@0.502658:0.730031:0.510113:0.730031:0.510113:0.713625:0.502658:0.713625:0.000000
∈ ℝ:@0.513997:0.730613:0.546485:0.730613:0.546485:0.712959:0.513997:0.712959:0.000000:0.000000:0.000000
Algunos valores de   se muestran en la tabla. Con dichos valores obtenemos algunos :@0.103220:0.757393:0.710155:0.757393:0.710155:0.740959:0.103220:0.740959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.243042:0.757393:0.247736:0.757393:0.247736:0.740986:0.243042:0.740986:0.000000
puntos de  ( ).:@0.103220:0.774034:0.209706:0.774034:0.209706:0.757601:0.103220:0.757601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.181451:0.774034:0.201773:0.774034:0.201773:0.757628:0.181451:0.757628:0.000000:0.000000:0.000000
f:@0.103202:0.805404:0.107896:0.805404:0.107896:0.788998:0.103202:0.788998:0.000000
(–3) = 2  = :@0.107822:0.805404:0.192547:0.805402:0.192547:0.788968:0.107822:0.788970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.163153:0.799338:0.173712:0.799338:0.173712:0.789757:0.163153:0.789757:0.000000:0.000000
1:@0.198754:0.797932:0.207737:0.797932:0.207737:0.781498:0.198754:0.781498:0.000000
2:@0.196140:0.814324:0.205123:0.814324:0.205123:0.797890:0.196140:0.797890:0.000000
3:@0.205120:0.808258:0.210356:0.808258:0.210356:0.798677:0.205120:0.798677:0.000000
 = 0,125;   (0) = 2  = 1;   (3) = 2  = 8.:@0.213960:0.805402:0.464156:0.805402:0.464156:0.788968:0.213960:0.788968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.282509:0.805402:0.287203:0.805402:0.287203:0.788996:0.282509:0.788996:0.000000
0:@0.333321:0.799338:0.338558:0.799338:0.338558:0.789757:0.333321:0.789757:0.000000
f:@0.377221:0.805402:0.381915:0.805402:0.381915:0.788996:0.377221:0.788996:0.000000
3:@0.428043:0.799338:0.433280:0.799338:0.433280:0.789757:0.428043:0.789757:0.000000
Nota que si   > 1 es suficientemente grande,  ( ) = 2  es tan grande:@0.103209:0.899331:0.590749:0.899332:0.590749:0.882898:0.103209:0.882897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.189299:0.899331:0.198798:0.899331:0.198798:0.882925:0.189299:0.882925:0.000000
f n:@0.430600:0.899331:0.449523:0.899331:0.449523:0.882925:0.430600:0.882925:0.000000:0.000000:0.000000
n:@0.481956:0.893268:0.487494:0.893268:0.487494:0.883704:0.481956:0.883704:0.000000
como se quiera, y  ( ) = 2  = :@0.103204:0.923546:0.315212:0.923550:0.315212:0.907116:0.103204:0.907112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.234153:0.923546:0.253075:0.923546:0.253075:0.907140:0.234153:0.907140:0.000000:0.000000:0.000000
–:@0.285509:0.917486:0.290875:0.917486:0.290875:0.907905:0.285509:0.907905:0.000000
n:@0.290832:0.917486:0.296369:0.917486:0.296369:0.907922:0.290832:0.907922:0.000000
1:@0.321420:0.916081:0.330403:0.916081:0.330403:0.899647:0.321420:0.899647:0.000000
2:@0.318659:0.932473:0.327642:0.932473:0.327642:0.916039:0.318659:0.916039:0.000000
n:@0.327635:0.926406:0.333172:0.926406:0.333172:0.916842:0.327635:0.916842:0.000000
 ,  se aproxima a cero como se quiera.:@0.336624:0.923550:0.604560:0.923550:0.604560:0.907116:0.336624:0.907116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.326514:0.438874:0.336479:0.438874:0.336479:0.427688:0.326514:0.427688:0.000000
→:@0.336479:0.438313:0.347214:0.438313:0.347214:0.428274:0.336479:0.428274:0.000000
∞:@0.347212:0.438874:0.356160:0.438874:0.356160:0.427669:0.347212:0.427669:0.000000
m:@0.425175:0.438156:0.435140:0.438156:0.435140:0.426970:0.425175:0.426970:0.000000
→:@0.435142:0.437598:0.445877:0.437598:0.445877:0.427560:0.435142:0.427560:0.000000
∞:@0.445876:0.438159:0.454825:0.438159:0.454825:0.426954:0.445876:0.426954:0.000000
x:@0.160951:0.841395:0.169635:0.841395:0.169635:0.825774:0.160951:0.825774:0.000000
–3:@0.216979:0.841395:0.234566:0.841395:0.234566:0.825774:0.216979:0.825774:0.000000:0.000000
–2:@0.273901:0.841395:0.291488:0.841395:0.291488:0.825774:0.273901:0.825774:0.000000:0.000000
–1:@0.330823:0.841395:0.348410:0.841395:0.348410:0.825774:0.330823:0.825774:0.000000:0.000000
0:@0.391893:0.841395:0.401180:0.841395:0.401180:0.825774:0.391893:0.825774:0.000000
1:@0.448815:0.841395:0.458102:0.841395:0.458102:0.825774:0.448815:0.825774:0.000000
2:@0.505737:0.841395:0.515024:0.841395:0.515024:0.825774:0.505737:0.825774:0.000000
3:@0.562657:0.841395:0.571944:0.841395:0.571944:0.825774:0.562657:0.825774:0.000000
f(x):@0.138216:0.862201:0.160917:0.862201:0.160917:0.846276:0.138216:0.846276:0.000000:0.000000:0.000000:0.000000
 = 2:@0.160917:0.862201:0.187853:0.862201:0.187853:0.846289:0.160917:0.846289:0.000000:0.000000:0.000000:0.000000
x:@0.187852:0.856413:0.192369:0.856413:0.192369:0.847129:0.187852:0.847129:0.000000
 :@0.192370:0.862201:0.195568:0.862201:0.195568:0.846276:0.192370:0.846276:0.000000
0,125:@0.207094:0.862201:0.244449:0.862201:0.244449:0.846514:0.207094:0.846514:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.268310:0.862201:0.297091:0.862201:0.297091:0.846514:0.268310:0.846514:0.000000:0.000000:0.000000:0.000000
0,50:@0.325239:0.862201:0.354019:0.862201:0.354019:0.846514:0.325239:0.846514:0.000000:0.000000:0.000000:0.000000
1:@0.392270:0.862201:0.400845:0.862201:0.400845:0.846514:0.392270:0.846514:0.000000
2:@0.449199:0.862201:0.457773:0.862201:0.457773:0.846514:0.449199:0.846514:0.000000
4:@0.506128:0.862201:0.514702:0.862201:0.514702:0.846514:0.506128:0.846514:0.000000
8:@0.563056:0.862201:0.571631:0.862201:0.571631:0.846514:0.563056:0.846514:0.000000
Competencia :@0.740294:0.150262:0.848854:0.150262:0.848854:0.133315:0.740294:0.133315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.166904:0.837769:0.166904:0.837769:0.149957:0.740294:0.149957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 1., se :@0.745475:0.186800:0.860095:0.186800:0.860095:0.171860:0.745475:0.171860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa la gráfica de   :@0.745475:0.201928:0.912629:0.201928:0.912629:0.186989:0.745475:0.186989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.902170:0.201928:0.908964:0.201928:0.908964:0.187014:0.902170:0.187014:0.000000
cuando:@0.745475:0.217057:0.796061:0.217057:0.796061:0.202118:0.745475:0.202118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 <   < 1.:@0.745475:0.232186:0.807105:0.232186:0.807105:0.217247:0.745475:0.217247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.770642:0.232186:0.779059:0.232186:0.779059:0.217272:0.770642:0.217272:0.000000
0:@0.794732:0.342596:0.800024:0.342596:0.800024:0.332915:0.794732:0.332915:0.000000
1:@0.794732:0.318623:0.800024:0.318623:0.800024:0.308942:0.794732:0.308942:0.000000
x:@0.905282:0.343736:0.909674:0.343736:0.909674:0.334072:0.905282:0.334072:0.000000
y:@0.793572:0.247931:0.797975:0.247931:0.797975:0.238267:0.793572:0.238267:0.000000
0 <   < 1:@0.782006:0.356596:0.825276:0.356596:0.825276:0.345705:0.782006:0.345705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.800573:0.356596:0.806709:0.356596:0.806709:0.345723:0.800573:0.345723:0.000000
y:@0.830204:0.315752:0.835157:0.315752:0.835157:0.304879:0.830204:0.304879:0.000000
 = :@0.835157:0.315752:0.847771:0.315752:0.847771:0.304861:0.835157:0.304861:0.000000:0.000000:0.000000
a:@0.847771:0.315752:0.853907:0.315752:0.853907:0.304879:0.847771:0.304879:0.000000
x:@0.853912:0.311730:0.856792:0.311730:0.856792:0.305391:0.853912:0.305391:0.000000
En la Figura 2., se :@0.745475:0.377884:0.860095:0.377884:0.860095:0.362945:0.745475:0.362945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa la gráfica de :@0.745475:0.393013:0.902453:0.393013:0.902453:0.378073:0.745475:0.378073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y a:@0.745475:0.408142:0.774223:0.408142:0.774223:0.393228:0.745475:0.393228:0.000000:0.000000:0.000000
,     > 1.:@0.752202:0.408142:0.802269:0.408142:0.802269:0.393202:0.752202:0.393202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.838107:0.528798:0.843398:0.528798:0.843398:0.519117:0.838107:0.519117:0.000000
1:@0.837854:0.496924:0.843145:0.496924:0.843145:0.487243:0.837854:0.487243:0.000000
x:@0.905279:0.529937:0.909671:0.529937:0.909671:0.520273:0.905279:0.520273:0.000000
y:@0.836943:0.423920:0.841346:0.423920:0.841346:0.414255:0.836943:0.414255:0.000000
a:@0.834663:0.542798:0.840799:0.542798:0.840799:0.531925:0.834663:0.531925:0.000000
 > 1:@0.840799:0.542798:0.859366:0.542798:0.859366:0.531907:0.840799:0.531907:0.000000:0.000000:0.000000:0.000000
y:@0.874065:0.488738:0.879018:0.488738:0.879018:0.477865:0.874065:0.477865:0.000000
 = :@0.879018:0.488738:0.891632:0.488738:0.891632:0.477846:0.879018:0.477846:0.000000:0.000000:0.000000
a:@0.891632:0.488738:0.897768:0.488738:0.897768:0.477865:0.891632:0.477865:0.000000
x:@0.897761:0.484715:0.900641:0.484715:0.900641:0.478377:0.897761:0.478377:0.000000
 A la función exponencial :@0.745475:0.565420:0.915792:0.565420:0.915792:0.550480:0.745475:0.550480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de base   se le denota :@0.745475:0.580549:0.896715:0.580549:0.896715:0.565609:0.745475:0.565609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.800629:0.580549:0.809046:0.580549:0.809046:0.565635:0.800629:0.565635:0.000000
también Exp , esto es,:@0.745475:0.595678:0.888750:0.595678:0.888750:0.580738:0.745475:0.580738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.828838:0.598562:0.833745:0.598562:0.833745:0.589867:0.828838:0.589867:0.000000
Exp : :@0.745471:0.616758:0.780848:0.616758:0.780848:0.601818:0.745471:0.601818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.769468:0.619642:0.774375:0.619642:0.774375:0.610946:0.769468:0.610946:0.000000
ℝ:@0.788810:0.612004:0.800944:0.612004:0.800944:0.595886:0.788810:0.595886:0.000000
   :@0.800944:0.611616:0.824294:0.611616:0.824294:0.595930:0.800944:0.595930:0.000000:0.000000:0.000000
:@0.804792:0.611100:0.820446:0.611100:0.820446:0.596023:0.804792:0.596023:0.000000
ℝ:@0.824296:0.612004:0.836430:0.612004:0.836430:0.595886:0.824296:0.595886:0.000000
+:@0.836430:0.604676:0.842535:0.604676:0.842535:0.595531:0.836430:0.595531:0.000000
x:@0.788810:0.627500:0.795926:0.627500:0.795926:0.611841:0.788810:0.611841:0.000000
   exp ( ) =  .:@0.795926:0.627500:0.900825:0.627500:0.900825:0.611814:0.795926:0.611814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.799774:0.626984:0.815428:0.626984:0.815428:0.611907:0.799774:0.611907:0.000000
a:@0.845034:0.630529:0.850187:0.630529:0.850187:0.621400:0.845034:0.621400:0.000000
x:@0.854843:0.627500:0.861958:0.627500:0.861958:0.611841:0.854843:0.611841:0.000000
a:@0.884781:0.627500:0.893619:0.627500:0.893619:0.611841:0.884781:0.611841:0.000000
x:@0.893618:0.621713:0.897766:0.621713:0.897766:0.612583:0.893618:0.612583:0.000000
Las propiedades que :@0.745475:0.647016:0.886569:0.647016:0.886569:0.632076:0.745475:0.632076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hemos precisado para la :@0.745475:0.662145:0.910005:0.662145:0.910005:0.647205:0.745475:0.647205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función:@0.745475:0.677273:0.796145:0.677273:0.796145:0.662334:0.745475:0.662334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v r:@0.745475:0.699551:0.761606:0.699551:0.761606:0.684636:0.745475:0.684636:0.000000:0.000000:0.000000
( ) =  ,        se :@0.752436:0.699551:0.865329:0.699551:0.865329:0.684611:0.752436:0.684611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a r:@0.782975:0.699551:0.808936:0.699551:0.808936:0.684636:0.782975:0.684636:0.000000:0.000000:0.000000
r:@0.791345:0.694038:0.794145:0.694038:0.794145:0.685343:0.791345:0.685343:0.000000
∈ ℚ:@0.812467:0.700080:0.843860:0.700080:0.843860:0.684031:0.812467:0.684031:0.000000:0.000000:0.000000
verifican para la función :@0.745481:0.714680:0.906130:0.714680:0.906130:0.699740:0.745481:0.699740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.745481:0.729809:0.760826:0.729809:0.760826:0.714894:0.745481:0.714894:0.000000:0.000000:0.000000
( ) =  ,       .:@0.749681:0.729809:0.849029:0.729809:0.849029:0.714869:0.749681:0.714869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.782195:0.729809:0.811277:0.729809:0.811277:0.714894:0.782195:0.714894:0.000000:0.000000:0.000000
x:@0.790559:0.724296:0.794510:0.724296:0.794510:0.715601:0.790559:0.715601:0.000000
∈ ℚ:@0.814808:0.730338:0.846201:0.730338:0.846201:0.714289:0.814808:0.714289:0.000000:0.000000:0.000000
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