﻿93:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Y así sucesivamente. Mientras que para valores   muy grandes,  :@0.108233:0.096194:0.558013:0.096194:0.558013:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.443291:0.096310:0.450765:0.096310:0.450765:0.079841:0.443291:0.079841:0.000000
v x:@0.108233:0.113661:0.129444:0.113661:0.129444:0.097192:0.108233:0.097192:0.000000:0.000000:0.000000
( ) > 0 es muy cercano de cero. Por ejemplo::@0.116016:0.113545:0.430096:0.113545:0.430096:0.097047:0.116016:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.125719:0.140325:0.142634:0.140325:0.142634:0.123828:0.125719:0.123828:0.000000:0.000000
1:@0.183207:0.131014:0.191703:0.131014:0.191703:0.114516:0.183207:0.114516:0.000000
10:@0.174562:0.151288:0.191477:0.151288:0.191477:0.134790:0.174562:0.134790:0.000000:0.000000
10 ,:@0.216705:0.140325:0.251074:0.140325:0.251074:0.123828:0.216705:0.123828:0.000000:0.000000:0.000000:0.000000
5:@0.142994:0.132290:0.147912:0.132290:0.147912:0.122741:0.142994:0.122741:0.000000
5:@0.191835:0.143253:0.196752:0.143253:0.196752:0.133704:0.191835:0.133704:0.000000
5:@0.240474:0.132290:0.245391:0.132290:0.245391:0.122741:0.240474:0.122741:0.000000
v:@0.110380:0.140441:0.118163:0.140441:0.118163:0.123972:0.110380:0.123972:0.000000
( ):@0.119384:0.145379:0.156893:0.145379:0.156893:0.118679:0.119384:0.118679:0.000000:0.000000:0.000000
=:@0.159747:0.140962:0.170323:0.140962:0.170323:0.124681:0.159747:0.124681:0.000000
=:@0.203402:0.140962:0.213978:0.140962:0.213978:0.124681:0.203402:0.124681:0.000000
−:@0.234452:0.132658:0.240574:0.132658:0.240574:0.123235:0.234452:0.123235:0.000000
v:@0.256148:0.140737:0.264014:0.140737:0.264014:0.124093:0.256148:0.124093:0.000000
10:@0.271919:0.140620:0.289014:0.140620:0.289014:0.123947:0.271919:0.123947:0.000000:0.000000
1:@0.337942:0.131166:0.346529:0.131166:0.346529:0.114492:0.337942:0.114492:0.000000
10:@0.326674:0.151738:0.343769:0.151738:0.343769:0.135065:0.326674:0.135065:0.000000:0.000000
10:@0.374663:0.140620:0.391758:0.140620:0.391758:0.123947:0.374663:0.123947:0.000000:0.000000
10:@0.289162:0.132497:0.299057:0.132497:0.299057:0.122847:0.289162:0.122847:0.000000:0.000000
10:@0.343921:0.143620:0.353815:0.143620:0.353815:0.133969:0.343921:0.133969:0.000000:0.000000
10:@0.398679:0.132497:0.408574:0.132497:0.408574:0.122847:0.398679:0.122847:0.000000:0.000000
( ):@0.265513:0.145726:0.308503:0.145726:0.308503:0.118742:0.265513:0.118742:0.000000:0.000000:0.000000
=:@0.311543:0.141263:0.322233:0.141263:0.322233:0.124809:0.311543:0.124809:0.000000
=:@0.361075:0.141263:0.371765:0.141263:0.371765:0.124809:0.361075:0.124809:0.000000
−:@0.392598:0.132870:0.398785:0.132870:0.398785:0.123346:0.392598:0.123346:0.000000
(la función   es estrictamente decreciente.):@0.108233:0.178635:0.413485:0.178635:0.413485:0.162138:0.108233:0.162138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.189109:0.178751:0.196892:0.178751:0.196892:0.162282:0.189109:0.162282:0.000000
La figura 2.56. muestra la gráfica de la función  .:@0.108233:0.195986:0.444988:0.195986:0.444988:0.179489:0.108233:0.179489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.434450:0.196102:0.442233:0.196102:0.442233:0.179633:0.434450:0.179633:0.000000
Función raíz cuadrada:@0.108233:0.232085:0.286119:0.232085:0.286119:0.214403:0.108233:0.214403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función real   de [0, ∞[ en [0, ∞[, definida como:@0.108233:0.248793:0.464850:0.248793:0.464850:0.232295:0.108233:0.232295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.216889:0.248909:0.221185:0.248909:0.221185:0.232440:0.216889:0.232440:0.000000
():@0.275631:0.272956:0.298596:0.272956:0.298596:0.251465:0.275631:0.251465:0.000000:0.000000
[:@0.396404:0.272712:0.402820:0.272712:0.402820:0.251547:0.396404:0.251547:0.000000
[:@0.430754:0.272712:0.437170:0.272712:0.437170:0.251547:0.430754:0.251547:0.000000
=:@0.301440:0.269923:0.312017:0.269923:0.312017:0.253642:0.301440:0.253642:0.000000
∀ ∈:@0.354208:0.269923:0.393232:0.269923:0.393232:0.253642:0.354208:0.253642:0.000000:0.000000:0.000000
∞:@0.416832:0.269923:0.430568:0.269923:0.430568:0.253642:0.416832:0.253642:0.000000
fx:@0.267411:0.269403:0.290953:0.269403:0.290953:0.252934:0.267411:0.252934:0.000000:0.000000
x:@0.328925:0.269403:0.336400:0.269403:0.336400:0.252934:0.328925:0.252934:0.000000
x:@0.367821:0.269403:0.375296:0.269403:0.375296:0.252934:0.367821:0.252934:0.000000
;:@0.339919:0.269287:0.342674:0.269287:0.342674:0.252789:0.339919:0.252789:0.000000
0,:@0.403533:0.269287:0.416175:0.269287:0.416175:0.252789:0.403533:0.252789:0.000000:0.000000
, :@0.439967:0.269287:0.446864:0.269287:0.446864:0.252789:0.439967:0.252789:0.000000:0.000000
se llama :@0.108239:0.286638:0.169090:0.286638:0.169090:0.270140:0.108239:0.270140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función raíz cuadrada:@0.169090:0.287100:0.336754:0.287100:0.336754:0.270154:0.169090:0.270154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Usando la notación habitual  :@0.336754:0.286638:0.553679:0.286638:0.553679:0.270140:0.336754:0.270140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de función, se tiene::@0.108231:0.303988:0.248981:0.303988:0.248981:0.287491:0.108231:0.287491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.272021:0.346081:0.276574:0.346081:0.276574:0.328624:0.272021:0.328624:0.000000
x:@0.302037:0.360158:0.309959:0.360158:0.309959:0.342701:0.302037:0.342701:0.000000
f x:@0.341483:0.360158:0.366720:0.360158:0.366720:0.342701:0.341483:0.342701:0.000000:0.000000:0.000000
x:@0.408576:0.360158:0.416498:0.360158:0.416498:0.342701:0.408576:0.342701:0.000000
::@0.283293:0.345965:0.286213:0.345965:0.286213:0.328478:0.283293:0.328478:0.000000
0,:@0.307978:0.331927:0.321392:0.331927:0.321392:0.314440:0.307978:0.314440:0.000000:0.000000
0,:@0.378766:0.331927:0.392180:0.331927:0.392180:0.314440:0.378766:0.314440:0.000000:0.000000
,:@0.418213:0.331927:0.421133:0.331927:0.421133:0.314440:0.418213:0.314440:0.000000
.:@0.419438:0.360035:0.422358:0.360035:0.422358:0.342548:0.419438:0.342548:0.000000
[:@0.299984:0.335980:0.306783:0.335980:0.306783:0.311475:0.299984:0.311475:0.000000
[ [:@0.337594:0.335980:0.377571:0.335980:0.377571:0.311475:0.337594:0.311475:0.000000:0.000000:0.000000
[:@0.408382:0.335980:0.415181:0.335980:0.415181:0.311475:0.408382:0.311475:0.000000
():@0.350030:0.363145:0.375246:0.363145:0.375246:0.339848:0.350030:0.339848:0.000000:0.000000
∞→:@0.323232:0.332597:0.368191:0.332597:0.368191:0.315340:0.323232:0.315340:0.000000:0.000000
∞:@0.394020:0.332597:0.408577:0.332597:0.408577:0.315340:0.394020:0.315340:0.000000
→:@0.314125:0.360705:0.334278:0.360705:0.334278:0.343448:0.314125:0.343448:0.000000
=:@0.378441:0.360705:0.389650:0.360705:0.389650:0.343448:0.378441:0.343448:0.000000
La definición de raíz cuadrada involucra tres argumentos: :@0.108233:0.390287:0.517117:0.390287:0.517117:0.373789:0.108233:0.373789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.135335:0.412918:0.147992:0.412918:0.147992:0.396421:0.135335:0.396421:0.000000:0.000000
0y:@0.193131:0.412918:0.213841:0.412918:0.213841:0.396421:0.193131:0.396421:0.000000:0.000000
2:@0.255847:0.399539:0.260764:0.399539:0.260764:0.389990:0.255847:0.389990:0.000000
x:@0.109578:0.413034:0.117053:0.413034:0.117053:0.396565:0.109578:0.396565:0.000000
x:@0.165852:0.413034:0.173326:0.413034:0.173326:0.396565:0.165852:0.396565:0.000000
x:@0.238939:0.413034:0.246414:0.413034:0.246414:0.396565:0.238939:0.396565:0.000000
x:@0.281341:0.413034:0.288816:0.413034:0.288816:0.396565:0.281341:0.396565:0.000000
( ):@0.217631:0.419866:0.255988:0.419866:0.255988:0.389584:0.217631:0.389584:0.000000:0.000000:0.000000
≥:@0.121253:0.413555:0.131830:0.413555:0.131830:0.397274:0.121253:0.397274:0.000000
≥:@0.179049:0.413555:0.189625:0.413555:0.189625:0.397274:0.179049:0.397274:0.000000
=:@0.266108:0.413555:0.276685:0.413555:0.276685:0.397274:0.266108:0.397274:0.000000
. De estos argumentos y de la definición de :@0.290575:0.412918:0.598642:0.412918:0.598642:0.396421:0.290575:0.396421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función raíz cuadrada, se tiene: Dom( ) = [0, ∞[, Rec( ) = [0, ∞[.:@0.108230:0.435547:0.570198:0.435547:0.570198:0.419049:0.108230:0.419049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.389221:0.435662:0.393517:0.435662:0.393517:0.419194:0.389221:0.419194:0.000000
f:@0.497684:0.435662:0.501980:0.435662:0.501980:0.419194:0.497684:0.419194:0.000000
La función   es estrictamente creciente; es decir que   satisface la  :@0.108237:0.460026:0.599906:0.460026:0.599906:0.443528:0.108237:0.443528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.194081:0.460141:0.198377:0.460141:0.198377:0.443673:0.194081:0.443673:0.000000
f:@0.506482:0.460141:0.510779:0.460141:0.510779:0.443673:0.506482:0.443673:0.000000
siguiente propiedad::@0.108237:0.477376:0.252050:0.477376:0.252050:0.460879:0.108237:0.460879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.272462:0.508549:0.278910:0.508549:0.278910:0.486030:0.272462:0.486030:0.000000
[:@0.307877:0.508549:0.314325:0.508549:0.314325:0.486030:0.307877:0.486030:0.000000
∀:@0.202427:0.505440:0.216233:0.505440:0.216233:0.489582:0.202427:0.489582:0.000000
∈:@0.256527:0.505440:0.270333:0.505440:0.270333:0.489582:0.256527:0.489582:0.000000
∞:@0.290877:0.505440:0.304683:0.505440:0.304683:0.489582:0.290877:0.489582:0.000000
,:@0.230794:0.504821:0.233563:0.504821:0.233563:0.488751:0.230794:0.488751:0.000000
0,:@0.276684:0.504821:0.289386:0.504821:0.289386:0.488751:0.276684:0.488751:0.000000:0.000000
;:@0.313552:0.504821:0.316320:0.504821:0.316320:0.488751:0.313552:0.488751:0.000000
1:@0.223843:0.506982:0.228785:0.506982:0.228785:0.497681:0.223843:0.497681:0.000000
2:@0.246628:0.506982:0.251570:0.506982:0.251570:0.497681:0.246628:0.497681:0.000000
xx:@0.216108:0.504933:0.245928:0.504933:0.245928:0.488892:0.216108:0.488892:0.000000:0.000000
 :@0.321369:0.505002:0.325511:0.505002:0.325511:0.488504:0.321369:0.488504:0.000000
<:@0.346033:0.504381:0.356610:0.504381:0.356610:0.488100:0.346033:0.488100:0.000000
1:@0.336923:0.505963:0.341841:0.505963:0.341841:0.496415:0.336923:0.496415:0.000000
2:@0.369015:0.505963:0.373933:0.505963:0.373933:0.496415:0.369015:0.496415:0.000000
x:@0.329229:0.503860:0.336704:0.503860:0.336704:0.487391:0.329229:0.487391:0.000000
x:@0.360843:0.503860:0.368318:0.503860:0.368318:0.487391:0.360843:0.487391:0.000000
():@0.408878:0.507258:0.437815:0.507258:0.437815:0.484139:0.408878:0.484139:0.000000:0.000000
():@0.465672:0.507258:0.496227:0.507258:0.496227:0.484139:0.465672:0.484139:0.000000:0.000000
<:@0.440656:0.504381:0.451233:0.504381:0.451233:0.488100:0.440656:0.488100:0.000000
1:@0.424847:0.505963:0.429764:0.505963:0.429764:0.496415:0.424847:0.496415:0.000000
2:@0.482117:0.505963:0.487034:0.505963:0.487034:0.496415:0.482117:0.496415:0.000000
fx:@0.401078:0.503860:0.424620:0.503860:0.424620:0.487391:0.401078:0.487391:0.000000:0.000000
fx:@0.457872:0.503860:0.481414:0.503860:0.481414:0.487391:0.457872:0.487391:0.000000:0.000000
.:@0.498811:0.505002:0.501566:0.505002:0.501566:0.488505:0.498811:0.488505:0.000000
En efecto, sean  ,     [0, ∞[, tales que   <  . :@0.108227:0.530147:0.436305:0.530148:0.436305:0.513650:0.108227:0.513649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.217428:0.530262:0.243795:0.530264:0.243795:0.513795:0.217428:0.513793:0.000000:0.000000:0.000000
1:@0.224902:0.532819:0.229424:0.532819:0.229424:0.524037:0.224902:0.524037:0.000000
2:@0.243795:0.532819:0.248318:0.532819:0.248318:0.524037:0.243795:0.524037:0.000000
:@0.252459:0.529629:0.267112:0.529629:0.267112:0.516256:0.252459:0.516256:0.000000
x:@0.386325:0.530264:0.393799:0.530264:0.393799:0.513795:0.386325:0.513795:0.000000
1:@0.393796:0.532819:0.398319:0.532819:0.398319:0.524037:0.393796:0.524037:0.000000
x:@0.417411:0.530264:0.424886:0.530264:0.424886:0.513795:0.417411:0.513795:0.000000
2:@0.424885:0.532819:0.429408:0.532819:0.429408:0.524037:0.424885:0.524037:0.000000
Entonces: :@0.108237:0.551894:0.180422:0.551894:0.180422:0.535396:0.108237:0.535396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.247114:0.550642:0.259771:0.550642:0.259771:0.534144:0.247114:0.534144:0.000000:0.000000
0,:@0.315274:0.550642:0.327932:0.550642:0.327932:0.534144:0.315274:0.534144:0.000000:0.000000
0  y :@0.385053:0.550642:0.412631:0.551899:0.412631:0.535402:0.385053:0.534144:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.192303:0.552861:0.197221:0.552861:0.197221:0.543312:0.192303:0.543312:0.000000
1:@0.223927:0.552861:0.228844:0.552861:0.228844:0.543312:0.223927:0.543312:0.000000
1:@0.290566:0.552861:0.295484:0.552861:0.295484:0.543312:0.290566:0.543312:0.000000
2:@0.359199:0.552861:0.364116:0.552861:0.364116:0.543312:0.359199:0.543312:0.000000
x:@0.184136:0.550758:0.191611:0.550758:0.191611:0.534289:0.184136:0.534289:0.000000
x:@0.216232:0.550758:0.223707:0.550758:0.223707:0.534289:0.216232:0.534289:0.000000
x:@0.282870:0.550758:0.290345:0.550758:0.290345:0.534289:0.282870:0.534289:0.000000
x:@0.351031:0.550758:0.358505:0.550758:0.358505:0.534289:0.351031:0.534289:0.000000
−:@0.201778:0.551278:0.212355:0.551278:0.212355:0.534997:0.201778:0.534997:0.000000
>:@0.233027:0.551278:0.243603:0.551278:0.243603:0.534997:0.233027:0.534997:0.000000
≥:@0.301194:0.551278:0.311770:0.551278:0.311770:0.534997:0.301194:0.534997:0.000000
>:@0.370973:0.551278:0.381549:0.551278:0.381549:0.534997:0.370973:0.534997:0.000000
x:@0.123516:0.595875:0.130336:0.595875:0.130336:0.580851:0.123516:0.580851:0.000000
x:@0.165838:0.595875:0.172658:0.595875:0.172658:0.580851:0.165838:0.580851:0.000000
x:@0.210146:0.586273:0.216966:0.586273:0.216966:0.571248:0.210146:0.571248:0.000000
x:@0.252469:0.586273:0.259288:0.586273:0.259288:0.571248:0.252469:0.571248:0.000000
x:@0.210146:0.606916:0.216966:0.606916:0.216966:0.591892:0.210146:0.591892:0.000000
x:@0.252469:0.606916:0.259288:0.606916:0.259288:0.591892:0.252469:0.591892:0.000000
x:@0.287954:0.595875:0.294773:0.595875:0.294773:0.580851:0.287954:0.580851:0.000000
x:@0.330276:0.595875:0.337095:0.595875:0.337095:0.580851:0.330276:0.580851:0.000000
x:@0.386817:0.583727:0.393636:0.583727:0.393636:0.568702:0.386817:0.568702:0.000000
x:@0.448138:0.583727:0.454957:0.583727:0.454957:0.568702:0.448138:0.568702:0.000000
x:@0.399717:0.606916:0.406536:0.606916:0.406536:0.591892:0.399717:0.591892:0.000000
x:@0.442039:0.606916:0.448858:0.606916:0.448858:0.591892:0.442039:0.591892:0.000000
x:@0.508123:0.587315:0.514943:0.587315:0.514943:0.572290:0.508123:0.572290:0.000000
x:@0.537158:0.587315:0.543978:0.587315:0.543978:0.572290:0.537158:0.572290:0.000000
x:@0.506735:0.606916:0.513554:0.606916:0.513554:0.591892:0.506735:0.591892:0.000000
x:@0.549057:0.606916:0.555876:0.606916:0.555876:0.591892:0.549057:0.591892:0.000000
0,:@0.580429:0.595770:0.591977:0.595770:0.591977:0.580719:0.580429:0.580719:0.000000:0.000000
2:@0.130968:0.597794:0.135454:0.597794:0.135454:0.589083:0.130968:0.589083:0.000000
1:@0.172850:0.597794:0.177336:0.597794:0.177336:0.589083:0.172850:0.589083:0.000000
2:@0.217600:0.588190:0.222086:0.588190:0.222086:0.579478:0.217600:0.579478:0.000000
1:@0.259482:0.588190:0.263968:0.588190:0.263968:0.579478:0.259482:0.579478:0.000000
2:@0.217600:0.608835:0.222086:0.608835:0.222086:0.600123:0.217600:0.600123:0.000000
1:@0.259482:0.608835:0.263968:0.608835:0.263968:0.600123:0.259482:0.600123:0.000000
2:@0.295402:0.597794:0.299889:0.597794:0.299889:0.589083:0.295402:0.589083:0.000000
1:@0.337284:0.597794:0.341770:0.597794:0.341770:0.589083:0.337284:0.589083:0.000000
2:@0.394262:0.585640:0.398749:0.585640:0.398749:0.576928:0.394262:0.576928:0.000000
2:@0.408545:0.571408:0.413032:0.571408:0.413032:0.562697:0.408545:0.562697:0.000000
1:@0.455157:0.585640:0.459644:0.585640:0.459644:0.576928:0.455157:0.576928:0.000000
2:@0.468382:0.571408:0.472869:0.571408:0.472869:0.562697:0.468382:0.562697:0.000000
2:@0.407152:0.608827:0.411638:0.608827:0.411638:0.600115:0.407152:0.600115:0.000000
1:@0.449033:0.608827:0.453520:0.608827:0.453520:0.600115:0.449033:0.600115:0.000000
2:@0.515564:0.589220:0.520050:0.589220:0.520050:0.580509:0.515564:0.580509:0.000000
1:@0.544170:0.589220:0.548657:0.589220:0.548657:0.580509:0.544170:0.580509:0.000000
2:@0.514192:0.608835:0.518679:0.608835:0.518679:0.600123:0.514192:0.600123:0.000000
1:@0.556074:0.608835:0.560560:0.608835:0.560560:0.600123:0.556074:0.600123:0.000000
(:@0.268515:0.602108:0.274368:0.602108:0.274368:0.574482:0.268515:0.574482:0.000000
):@0.344793:0.602108:0.350646:0.602108:0.350646:0.574482:0.344793:0.574482:0.000000
( ) ( ):@0.367378:0.589964:0.468508:0.589964:0.468508:0.562337:0.367378:0.562337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.140949:0.596350:0.150598:0.596350:0.150598:0.581497:0.140949:0.581497:0.000000
=:@0.182831:0.596350:0.192481:0.596350:0.192481:0.581497:0.182831:0.581497:0.000000
−:@0.227579:0.586747:0.237228:0.586747:0.237228:0.571895:0.227579:0.571895:0.000000
+:@0.227579:0.607391:0.237228:0.607391:0.237228:0.592538:0.227579:0.592538:0.000000
+:@0.305386:0.596350:0.315035:0.596350:0.315035:0.581497:0.305386:0.581497:0.000000
=:@0.353385:0.596350:0.363034:0.596350:0.363034:0.581497:0.353385:0.581497:0.000000
−:@0.417150:0.584202:0.426798:0.584202:0.426798:0.569349:0.417150:0.569349:0.000000
+:@0.417150:0.607391:0.426798:0.607391:0.426798:0.592538:0.417150:0.592538:0.000000
=:@0.479420:0.596350:0.489069:0.596350:0.489069:0.581497:0.479420:0.581497:0.000000
−:@0.524167:0.587789:0.533816:0.587789:0.533816:0.572937:0.524167:0.572937:0.000000
+:@0.524167:0.607391:0.533816:0.607391:0.533816:0.592538:0.524167:0.592538:0.000000
>:@0.567439:0.596350:0.577088:0.596350:0.577088:0.581497:0.567439:0.581497:0.000000
 :@0.595765:0.609696:0.599907:0.609696:0.599907:0.593198:0.595765:0.593198:0.000000
de donde :@0.108238:0.638571:0.180483:0.638571:0.180483:0.622073:0.108238:0.622073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.273105:0.638575:0.281389:0.638575:0.281389:0.622077:0.273105:0.622077:0.000000
2:@0.203993:0.640794:0.208788:0.640794:0.208788:0.631245:0.203993:0.631245:0.000000
1:@0.249014:0.640794:0.253809:0.640794:0.253809:0.631245:0.249014:0.631245:0.000000
x:@0.196031:0.638691:0.203319:0.638691:0.203319:0.622222:0.196031:0.622222:0.000000
x:@0.241506:0.638691:0.248794:0.638691:0.248794:0.622222:0.241506:0.622222:0.000000
−:@0.214720:0.639211:0.225033:0.639211:0.225033:0.622930:0.214720:0.622930:0.000000
>:@0.259388:0.639211:0.269700:0.639211:0.269700:0.622930:0.259388:0.622930:0.000000
, que implica :@0.282299:0.638575:0.375003:0.638575:0.375003:0.622077:0.282299:0.622077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.398150:0.639537:0.402871:0.639537:0.402871:0.629988:0.398150:0.629988:0.000000
1:@0.443581:0.639537:0.448302:0.639537:0.448302:0.629988:0.443581:0.629988:0.000000
x:@0.390310:0.637433:0.397486:0.637433:0.397486:0.620965:0.390310:0.620965:0.000000
x:@0.436195:0.637433:0.443371:0.637433:0.443371:0.620965:0.436195:0.620965:0.000000
>:@0.409452:0.637954:0.419605:0.637954:0.419605:0.621673:0.409452:0.621673:0.000000
, o sea, :@0.452091:0.638575:0.500773:0.638575:0.500773:0.622077:0.452091:0.622077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.526875:0.639537:0.531628:0.639537:0.531628:0.629988:0.526875:0.629988:0.000000
1:@0.582883:0.639537:0.587635:0.639537:0.587635:0.629988:0.582883:0.629988:0.000000
fx:@0.503451:0.637433:0.526203:0.637433:0.526203:0.620965:0.503451:0.620965:0.000000:0.000000
fx:@0.559922:0.637433:0.582674:0.637433:0.582674:0.620965:0.559922:0.620965:0.000000:0.000000
() ():@0.510989:0.640831:0.595426:0.640831:0.595426:0.617712:0.510989:0.617712:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.543269:0.637954:0.553491:0.637954:0.553491:0.621673:0.543269:0.621673:0.000000
 :@0.595768:0.638575:0.599910:0.638575:0.599910:0.622077:0.595768:0.622077:0.000000
o lo que es lo mismo, :@0.108241:0.659063:0.262593:0.659063:0.262593:0.642566:0.108241:0.642566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.292476:0.660031:0.297393:0.660031:0.297393:0.650482:0.292476:0.650482:0.000000
2:@0.349746:0.660031:0.354663:0.660031:0.354663:0.650482:0.349746:0.650482:0.000000
fx:@0.268709:0.657927:0.292251:0.657927:0.292251:0.641459:0.268709:0.641459:0.000000:0.000000
fx:@0.325503:0.657927:0.349045:0.657927:0.349045:0.641459:0.325503:0.641459:0.000000:0.000000
():@0.276509:0.661325:0.305446:0.661325:0.305446:0.638206:0.276509:0.638206:0.000000:0.000000
():@0.333303:0.661325:0.363858:0.661325:0.363858:0.638206:0.333303:0.638206:0.000000:0.000000
<:@0.308287:0.658448:0.318863:0.658448:0.318863:0.642167:0.308287:0.642167:0.000000
. :@0.366449:0.659070:0.373346:0.659070:0.373346:0.642572:0.366449:0.642572:0.000000:0.000000
Así, :@0.108236:0.679558:0.137347:0.679557:0.137347:0.663060:0.108236:0.663060:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.167932:0.678306:0.170687:0.678306:0.170687:0.661808:0.167932:0.661808:0.000000
0,:@0.213591:0.678306:0.226231:0.678306:0.226231:0.661808:0.213591:0.661808:0.000000:0.000000
1:@0.161022:0.680525:0.165939:0.680525:0.165939:0.670976:0.161022:0.670976:0.000000
2:@0.183691:0.680525:0.188608:0.680525:0.188608:0.670976:0.183691:0.670976:0.000000
xx:@0.153325:0.678421:0.182994:0.678421:0.182994:0.661953:0.153325:0.661953:0.000000:0.000000
[:@0.206044:0.682133:0.212459:0.682133:0.212459:0.659014:0.206044:0.659014:0.000000
[:@0.241280:0.682133:0.247695:0.682133:0.247695:0.659014:0.241280:0.659014:0.000000
∀:@0.139714:0.678942:0.153450:0.678942:0.153450:0.662661:0.139714:0.662661:0.000000
∈:@0.193541:0.678942:0.207277:0.678942:0.207277:0.662661:0.193541:0.662661:0.000000
∞:@0.227718:0.678942:0.241454:0.678942:0.241454:0.662661:0.227718:0.662661:0.000000
, :@0.250644:0.679564:0.257540:0.679564:0.257540:0.663066:0.250644:0.663066:0.000000:0.000000
<:@0.277454:0.678942:0.288031:0.678942:0.288031:0.662661:0.277454:0.662661:0.000000
1:@0.268344:0.680525:0.273262:0.680525:0.273262:0.670976:0.268344:0.670976:0.000000
2:@0.300436:0.680525:0.305353:0.680525:0.305353:0.670976:0.300436:0.670976:0.000000
x:@0.260650:0.678421:0.268125:0.678421:0.268125:0.661953:0.260650:0.661953:0.000000
x:@0.292264:0.678421:0.299739:0.678421:0.299739:0.661953:0.292264:0.661953:0.000000
():@0.340301:0.681819:0.369237:0.681819:0.369237:0.658700:0.340301:0.658700:0.000000:0.000000
():@0.397095:0.681819:0.427649:0.681819:0.427649:0.658700:0.397095:0.658700:0.000000:0.000000
<:@0.372077:0.678942:0.382653:0.678942:0.382653:0.662661:0.372077:0.662661:0.000000
1:@0.356267:0.680525:0.361185:0.680525:0.361185:0.670976:0.356267:0.670976:0.000000
2:@0.413537:0.680525:0.418455:0.680525:0.418455:0.670976:0.413537:0.670976:0.000000
fx:@0.332499:0.678421:0.356041:0.678421:0.356041:0.661953:0.332499:0.661953:0.000000:0.000000
fx:@0.389293:0.678421:0.412835:0.678421:0.412835:0.661953:0.389293:0.661953:0.000000:0.000000
, que prueba que la :@0.427792:0.679563:0.564745:0.679563:0.564745:0.663065:0.427792:0.663065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fun-:@0.564128:0.680026:0.595742:0.680026:0.595742:0.663080:0.564128:0.663080:0.000000:0.000000:0.000000:0.000000
ción raíz cuadrada :@0.108239:0.697376:0.250314:0.697376:0.250314:0.680431:0.108239:0.680431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es estrictamente creciente en el intervalo [0, ∞[.:@0.250122:0.696914:0.577951:0.696914:0.577951:0.680416:0.250122:0.680416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos algunos valores de esta función::@0.108239:0.721393:0.419544:0.721393:0.419544:0.704895:0.108239:0.704895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.114188:0.755871:0.118365:0.755871:0.118365:0.739860:0.114188:0.739860:0.000000
f:@0.181879:0.755871:0.186056:0.755871:0.186056:0.739860:0.181879:0.739860:0.000000
f:@0.262606:0.755871:0.266783:0.755871:0.266783:0.739860:0.262606:0.739860:0.000000
f:@0.324097:0.755871:0.328274:0.755871:0.328274:0.739860:0.324097:0.739860:0.000000
0:@0.129360:0.755759:0.137620:0.755759:0.137620:0.739719:0.129360:0.739719:0.000000
0,:@0.162044:0.755759:0.174331:0.755759:0.174331:0.739719:0.162044:0.739719:0.000000:0.000000
1:@0.202033:0.746664:0.210293:0.746664:0.210293:0.730624:0.202033:0.730624:0.000000
4:@0.201621:0.766456:0.209881:0.766456:0.209881:0.750417:0.201621:0.750417:0.000000
1:@0.240561:0.746664:0.248821:0.746664:0.248821:0.730624:0.240561:0.730624:0.000000
2:@0.239943:0.766456:0.248203:0.766456:0.248203:0.750417:0.239943:0.750417:0.000000
,:@0.252361:0.755759:0.255039:0.755759:0.255039:0.739719:0.252361:0.739719:0.000000
1:@0.276598:0.755759:0.284858:0.755759:0.284858:0.739719:0.276598:0.739719:0.000000
1,:@0.306154:0.755759:0.316512:0.755759:0.316512:0.739719:0.306154:0.739719:0.000000:0.000000
2:@0.338848:0.755759:0.347108:0.755759:0.347108:0.739719:0.338848:0.739719:0.000000
2 ,:@0.383801:0.755759:0.397563:0.755759:0.397563:0.739719:0.383801:0.739719:0.000000:0.000000:0.000000
():@0.122027:0.758611:0.144859:0.758611:0.144859:0.737243:0.122027:0.737243:0.000000:0.000000
():@0.270445:0.758611:0.290168:0.758611:0.290168:0.737243:0.270445:0.737243:0.000000:0.000000
():@0.331936:0.758611:0.354356:0.758611:0.354356:0.737243:0.331936:0.737243:0.000000:0.000000
=:@0.147780:0.756377:0.158063:0.756377:0.158063:0.740549:0.147780:0.740549:0.000000
=:@0.224630:0.756377:0.234913:0.756377:0.234913:0.740549:0.224630:0.740549:0.000000
=:@0.293091:0.756377:0.303374:0.756377:0.303374:0.740549:0.293091:0.740549:0.000000
=:@0.357279:0.756377:0.367562:0.756377:0.367562:0.740549:0.357279:0.740549:0.000000
 :@0.401400:0.767875:0.405542:0.767875:0.405542:0.751377:0.401400:0.751377:0.000000
3:@0.129279:0.795496:0.137775:0.795496:0.137775:0.778999:0.129279:0.778999:0.000000
3,:@0.174764:0.795496:0.188520:0.795496:0.188520:0.778999:0.174764:0.778999:0.000000:0.000000
4:@0.211099:0.795496:0.219595:0.795496:0.219595:0.778999:0.211099:0.778999:0.000000
2,:@0.243984:0.795496:0.256642:0.795496:0.256642:0.778999:0.243984:0.778999:0.000000:0.000000
9:@0.279213:0.795496:0.287709:0.795496:0.287709:0.778999:0.279213:0.778999:0.000000
3.:@0.312099:0.795496:0.325394:0.795496:0.325394:0.778999:0.312099:0.778999:0.000000:0.000000
f:@0.114358:0.795612:0.118654:0.795612:0.118654:0.779143:0.114358:0.779143:0.000000
f:@0.195773:0.795612:0.200069:0.795612:0.200069:0.779143:0.195773:0.779143:0.000000
f:@0.263876:0.795612:0.268172:0.795612:0.268172:0.779143:0.263876:0.779143:0.000000
():@0.122159:0.798431:0.144796:0.798431:0.144796:0.776452:0.122159:0.776452:0.000000:0.000000
():@0.203574:0.798431:0.227059:0.798431:0.227059:0.776452:0.203574:0.776452:0.000000:0.000000
():@0.271677:0.798431:0.295161:0.798431:0.295161:0.776452:0.271677:0.776452:0.000000:0.000000
=:@0.147653:0.796132:0.158230:0.796132:0.158230:0.779852:0.147653:0.779852:0.000000
=:@0.229896:0.796132:0.240473:0.796132:0.240473:0.779852:0.229896:0.779852:0.000000
=:@0.297999:0.796132:0.308576:0.796132:0.308576:0.779852:0.297999:0.779852:0.000000
Además, considerando que la función raíz cuadrada es :@0.108236:0.821233:0.508849:0.821233:0.508849:0.804735:0.108236:0.804735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estrictamente creciente, podemos construir su gráfica, :@0.108232:0.838584:0.508866:0.838584:0.508866:0.822086:0.108232:0.822086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se muestra en la figura 2.57.:@0.108232:0.855935:0.333578:0.855935:0.333578:0.839437:0.108232:0.839437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos que, por ser la función raíz cuadrada estric-:@0.108232:0.880414:0.504749:0.880414:0.504749:0.863916:0.108232:0.863916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tamente creciente, esta se inicia en el origen y se extien-:@0.108232:0.897764:0.504759:0.897764:0.504759:0.881267:0.108232:0.881267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de a la derecha y hacia arriba. Además, para  , tan grande :@0.108232:0.915115:0.508889:0.915115:0.508889:0.898618:0.108232:0.898618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.414758:0.915231:0.422232:0.915231:0.422232:0.898762:0.414758:0.898762:0.000000
como se quiera, :@0.108232:0.935604:0.221643:0.935604:0.221643:0.919106:0.108232:0.919106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.238205:0.935724:0.245680:0.935724:0.245680:0.919256:0.238205:0.919256:0.000000
 es igualmente grande.:@0.251421:0.935609:0.405869:0.935609:0.405869:0.919111:0.251421:0.919111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.106800:0.831589:0.106800:0.831589:0.091327:0.684804:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.685042:0.135849:0.823260:0.135849:0.823260:0.120377:0.685042:0.120377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.638498:0.158398:0.657091:0.158398:0.657091:0.143335:0.638498:0.143335:0.000000:0.000000:0.000000
función raíz cuadrada:@0.657091:0.158820:0.810173:0.158820:0.810173:0.143348:0.657091:0.143348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se :@0.810173:0.158398:0.831033:0.158398:0.831033:0.143335:0.810173:0.143335:0.000000:0.000000:0.000000:0.000000
encuentra vinculada a la teoría :@0.638498:0.174240:0.840555:0.174240:0.840555:0.159177:0.638498:0.159177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineal de las olas. Esta teoría :@0.638498:0.190082:0.819654:0.190082:0.819654:0.175019:0.638498:0.175019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica que la raíz cuadrada del :@0.638498:0.205924:0.837966:0.205924:0.837966:0.190861:0.638498:0.190861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de la profundidad :@0.638498:0.221766:0.824335:0.221766:0.824335:0.206703:0.638498:0.206703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del agua por la aceleración de :@0.638498:0.237608:0.834324:0.237608:0.834324:0.222545:0.638498:0.222545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gravedad es la celeridad o :@0.638498:0.253450:0.822592:0.253450:0.822592:0.238387:0.638498:0.238387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad de la onda que se :@0.638498:0.269292:0.822469:0.269292:0.822469:0.254229:0.638498:0.254229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acerca a la costa, en aguas poco :@0.638498:0.285134:0.847183:0.285134:0.847183:0.270071:0.638498:0.270071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
profundas.:@0.638498:0.300976:0.707713:0.300976:0.707713:0.285913:0.638498:0.285913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.716816:0.332960:0.740453:0.332960:0.740453:0.310932:0.716816:0.310932:0.000000:0.000000
×:@0.784965:0.329080:0.793920:0.329080:0.793920:0.315295:0.784965:0.315295:0.000000
=:@0.689503:0.329199:0.700581:0.329199:0.700581:0.312289:0.689503:0.312289:0.000000
=:@0.744715:0.329199:0.755793:0.329199:0.755793:0.312289:0.744715:0.312289:0.000000
C:@0.676687:0.329317:0.686975:0.329317:0.686975:0.312437:0.676687:0.312437:0.000000
f h:@0.708124:0.329317:0.733750:0.329317:0.733750:0.312437:0.708124:0.312437:0.000000:0.000000:0.000000
g h:@0.774665:0.329317:0.805922:0.329317:0.805922:0.312437:0.774665:0.312437:0.000000:0.000000:0.000000
.:@0.808595:0.329603:0.811111:0.329603:0.811111:0.314540:0.808595:0.314540:0.000000
Indaga responde:@0.638500:0.352997:0.766358:0.352997:0.766358:0.337524:0.638500:0.337524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.686132:0.352574:0.700837:0.352574:0.700837:0.337511:0.686132:0.337511:0.000000:0.000000:0.000000
: ¿qué :@0.766362:0.352574:0.806344:0.352574:0.806344:0.337511:0.766362:0.337511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importancia tiene el estudio de :@0.638500:0.368416:0.844704:0.368416:0.844704:0.353353:0.638500:0.353353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las condiciones de oleaje en las :@0.638500:0.384258:0.842507:0.384258:0.842507:0.369195:0.638500:0.369195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actividades humanas relaciona-:@0.638500:0.400100:0.841454:0.400100:0.841454:0.385037:0.638500:0.385037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
das con el mar?:@0.638500:0.415942:0.737673:0.415942:0.737673:0.400879:0.638500:0.400879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.787313:0.938448:0.798794:0.938448:0.798794:0.928423:0.787313:0.928423:0.000000
 Figura 2.57.:@0.798794:0.939155:0.856154:0.939155:0.856154:0.927679:0.798794:0.927679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.835971:0.905377:0.842146:0.905377:0.842146:0.891772:0.835971:0.891772:0.000000
y:@0.546688:0.813787:0.553038:0.813787:0.553038:0.800183:0.546688:0.800183:0.000000
0:@0.551424:0.902795:0.557335:0.902795:0.557335:0.891318:0.551424:0.891318:0.000000
1:@0.581981:0.902795:0.587891:0.902795:0.587891:0.891318:0.581981:0.891318:0.000000
2:@0.607109:0.902795:0.613020:0.902795:0.613020:0.891318:0.607109:0.891318:0.000000
3:@0.632238:0.902795:0.638148:0.902795:0.638148:0.891318:0.632238:0.891318:0.000000
4:@0.657367:0.902795:0.663277:0.902795:0.663277:0.891318:0.657367:0.891318:0.000000
5:@0.682495:0.902795:0.688405:0.902795:0.688405:0.891318:0.682495:0.891318:0.000000
6:@0.707624:0.902795:0.713534:0.902795:0.713534:0.891318:0.707624:0.891318:0.000000
7:@0.734428:0.902795:0.740338:0.902795:0.740338:0.891318:0.734428:0.891318:0.000000
8:@0.757881:0.902795:0.763791:0.902795:0.763791:0.891318:0.757881:0.891318:0.000000
9:@0.783010:0.902795:0.788920:0.902795:0.788920:0.891318:0.783010:0.891318:0.000000
10:@0.805190:0.902795:0.817010:0.902795:0.817010:0.891318:0.805190:0.891318:0.000000:0.000000
3:@0.550004:0.838150:0.555914:0.838150:0.555914:0.826673:0.550004:0.826673:0.000000
2:@0.550004:0.857009:0.555914:0.857009:0.555914:0.845532:0.550004:0.845532:0.000000
1:@0.550004:0.875869:0.555914:0.875869:0.555914:0.864392:0.550004:0.864392:0.000000
y:@0.700618:0.867274:0.706767:0.867274:0.706767:0.854099:0.700618:0.854099:0.000000
x:@0.732567:0.867274:0.738547:0.867274:0.738547:0.854099:0.732567:0.854099:0.000000
=:@0.709957:0.867691:0.718419:0.867691:0.718419:0.854666:0.709957:0.854666:0.000000
1:@0.563489:0.905873:0.569437:0.905873:0.569437:0.894324:0.563489:0.894324:0.000000
4:@0.563196:0.920064:0.569144:0.920064:0.569144:0.908516:0.563196:0.908516:0.000000
Competencia :@0.683966:0.517781:0.781589:0.517781:0.781589:0.502309:0.683966:0.502309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.683966:0.530349:0.795925:0.530349:0.795925:0.514877:0.683966:0.514877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.677394:0.554824:0.813859:0.554824:0.813859:0.539761:0.677394:0.539761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.637658:0.570666:0.792431:0.570666:0.792431:0.555603:0.637658:0.555603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.637658:0.596237:0.646313:0.596237:0.646313:0.581174:0.637658:0.581174:0.000000:0.000000
,:@0.677521:0.596559:0.680276:0.596559:0.680276:0.580061:0.677521:0.580061:0.000000
0,:@0.723180:0.596559:0.735818:0.596559:0.735818:0.580061:0.723180:0.580061:0.000000:0.000000
,:@0.759861:0.596559:0.762616:0.596559:0.762616:0.580061:0.759861:0.580061:0.000000
1:@0.670611:0.598777:0.675529:0.598777:0.675529:0.589229:0.670611:0.589229:0.000000
2:@0.693281:0.598777:0.698198:0.598777:0.698198:0.589229:0.693281:0.589229:0.000000
xx:@0.662915:0.596674:0.692583:0.596674:0.692583:0.580205:0.662915:0.580205:0.000000:0.000000
[:@0.715633:0.600386:0.722048:0.600386:0.722048:0.577267:0.715633:0.577267:0.000000
[:@0.750869:0.600386:0.757285:0.600386:0.757285:0.577267:0.750869:0.577267:0.000000
∀:@0.649304:0.597195:0.663040:0.597195:0.663040:0.580914:0.649304:0.580914:0.000000
∈:@0.703131:0.597195:0.716867:0.597195:0.716867:0.580914:0.703131:0.580914:0.000000
∞:@0.737307:0.597195:0.751043:0.597195:0.751043:0.580914:0.737307:0.580914:0.000000
se lee: \para :@0.765262:0.596238:0.843870:0.596238:0.843870:0.581175:0.765262:0.581175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todo equis uno, equis dos :@0.652739:0.612080:0.823235:0.612080:0.823235:0.597017:0.652739:0.597017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pertenecen al intervalo :@0.652739:0.627922:0.834178:0.627922:0.834178:0.612859:0.652739:0.612859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiabierto a la derecha, :@0.652739:0.643764:0.816500:0.643764:0.816500:0.628701:0.652739:0.628701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desde cero al infinito\.:@0.652739:0.659606:0.794935:0.659606:0.794935:0.644543:0.652739:0.644543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.637664:0.683408:0.646318:0.683408:0.646318:0.668345:0.637664:0.668345:0.000000:0.000000
0:@0.695478:0.683732:0.703974:0.683732:0.703974:0.667235:0.695478:0.667235:0.000000
1:@0.670768:0.685951:0.675686:0.685951:0.675686:0.676402:0.670768:0.676402:0.000000
x:@0.663072:0.683848:0.670547:0.683848:0.670547:0.667379:0.663072:0.667379:0.000000
≥:@0.681394:0.684368:0.691970:0.684368:0.691970:0.668088:0.681394:0.668088:0.000000
se lee: \la raíz cuadra-:@0.708304:0.683412:0.844430:0.683412:0.844430:0.668349:0.708304:0.668349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da de equis uno es mayor o :@0.652737:0.699254:0.835056:0.699254:0.835056:0.684191:0.652737:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a cero\.:@0.652737:0.715096:0.732631:0.715096:0.732631:0.700033:0.652737:0.700033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000