32:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115891:0.780571:0.273013:0.780571:0.273013:0.762134:0.115891:0.762134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicando el método de Newton- :@0.115891:0.800418:0.388177:0.800418:0.388177:0.784029:0.115891:0.784029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Raphson,:@0.115891:0.817014:0.183631:0.817014:0.183631:0.800625:0.115891:0.800625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 calculamos :@0.183631:0.817014:0.277188:0.817014:0.277188:0.800390:0.183631:0.800390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el valor aproxi-:@0.277022:0.817014:0.384123:0.817014:0.384123:0.800625:0.277022:0.800625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mado de √20.:@0.115891:0.833611:0.218407:0.833611:0.218407:0.817222:0.115891:0.817222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115894:0.857330:0.185108:0.857330:0.185108:0.840429:0.115894:0.840429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La raíz cuadrada de 20 está entre 4  :@0.115894:0.881049:0.376991:0.881049:0.376991:0.864660:0.115894:0.864660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y 5, :@0.115894:0.897645:0.144272:0.897645:0.144272:0.881256:0.115894:0.881256:0.000000:0.000000:0.000000:0.000000:0.000000
tomamos:@0.144272:0.897645:0.217412:0.897645:0.217412:0.881021:0.144272:0.881021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor promedio.:@0.217412:0.897645:0.353996:0.897645:0.353996:0.881256:0.217412:0.881256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones numéricas. Método de Newton-Raphson:@0.115891:0.141978:0.862059:0.141978:0.862059:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.61. Conocer y aplicar el álgebra de límites de sucesiones convergentes en la resolución de aplicaciones o problemas con sucesiones reales en matemática :@0.125388:0.069719:0.877806:0.069719:0.877806:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera (interés compuesto), e interpretar y juzgar la validez de las soluciones obtenidas.:@0.125388:0.080280:0.546743:0.080280:0.546743:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.054068:0.122645:0.076443:0.122645:0.076443:0.065614:0.054068:0.065614:0.000000
Proceso para aplicar el método de Newton Raphson:@0.309500:0.452154:0.681649:0.452154:0.681649:0.436790:0.309500:0.436790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Etapa 1:@0.185917:0.475163:0.239609:0.475163:0.239609:0.459799:0.185917:0.459799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Etapa 2:@0.468731:0.475163:0.522423:0.475163:0.522423:0.459799:0.468731:0.459799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Etapa 3:@0.751545:0.475163:0.805237:0.475163:0.805237:0.459799:0.751545:0.459799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la función real  :@0.120901:0.497342:0.287670:0.497342:0.287670:0.482443:0.120901:0.482443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.120901:0.512429:0.125173:0.512429:0.125173:0.497555:0.120901:0.497555:0.000000
 en  0, :@0.125173:0.512429:0.169952:0.512429:0.169952:0.497530:0.125173:0.497530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
] ∞[:@0.149615:0.513045:0.187475:0.513045:0.187475:0.498888:0.149615:0.498888:0.000000:0.000000:0.000000:0.000000
.:@0.187475:0.512429:0.190390:0.512429:0.190390:0.497530:0.187475:0.497530:0.000000
Se calcula la derivada de la función  . Para ello, se :@0.318027:0.497342:0.636723:0.497342:0.636723:0.482443:0.318027:0.482443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.548020:0.497342:0.552292:0.497342:0.552292:0.482468:0.548020:0.482468:0.000000
calcula el :@0.318027:0.512429:0.381518:0.512429:0.381518:0.497530:0.318027:0.497530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente incremental:@0.381351:0.512429:0.529727:0.512429:0.529727:0.497065:0.381351:0.497065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.529559:0.512429:0.536143:0.512429:0.536143:0.497530:0.529559:0.497530:0.000000:0.000000
Sean      0, :@0.318027:0.531075:0.398656:0.531075:0.398656:0.516176:0.318027:0.516176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.353424:0.531075:0.360209:0.531075:0.360209:0.516201:0.353424:0.516201:0.000000
∈ ] ∞[:@0.363543:0.531691:0.415844:0.531691:0.415844:0.517534:0.363543:0.517534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,       , tal que :@0.415676:0.531075:0.519457:0.531075:0.519457:0.516176:0.415676:0.516176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.425426:0.531075:0.434071:0.531075:0.434071:0.516201:0.425426:0.516201:0.000000
∈:@0.437404:0.531691:0.449349:0.531691:0.449349:0.517534:0.437404:0.517534:0.000000
R:@0.452682:0.530296:0.464778:0.530296:0.464778:0.518603:0.452682:0.518603:0.000000
h ≠:@0.519290:0.531075:0.540599:0.531075:0.540599:0.516201:0.519290:0.516201:0.000000:0.000000:0.000000
 0  y:@0.540431:0.531075:0.566314:0.531075:0.566314:0.516176:0.540431:0.516176:0.000000:0.000000:0.000000:0.000000:0.000000
  x + h > :@0.566146:0.531075:0.618129:0.531075:0.618129:0.516201:0.566146:0.516201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0. El :@0.617962:0.531075:0.647027:0.531075:0.647027:0.516176:0.617962:0.516176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente incremental de   en   está definido como::@0.318027:0.546163:0.647662:0.546163:0.647662:0.531264:0.318027:0.531264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.479903:0.546163:0.484175:0.546163:0.484175:0.531289:0.479903:0.531289:0.000000
x:@0.507947:0.546163:0.514732:0.546163:0.514732:0.531289:0.507947:0.531289:0.000000
Q h:@0.318027:0.569888:0.342720:0.569888:0.342720:0.555014:0.318027:0.555014:0.000000:0.000000:0.000000
( ):@0.328664:0.570504:0.348131:0.570504:0.348131:0.556347:0.328664:0.556347:0.000000:0.000000:0.000000
 = :@0.347963:0.569888:0.364950:0.569888:0.364950:0.554989:0.347963:0.554989:0.000000:0.000000:0.000000
f x + h:@0.364781:0.561678:0.406076:0.561678:0.406076:0.546804:0.364781:0.546804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.369053:0.562294:0.374631:0.562294:0.374631:0.548137:0.369053:0.548137:0.000000
):@0.406076:0.562294:0.411654:0.562294:0.411654:0.548137:0.406076:0.548137:0.000000
 + :@0.411654:0.561678:0.428976:0.561678:0.428976:0.546779:0.411654:0.546779:0.000000:0.000000:0.000000
f x:@0.428976:0.561678:0.445611:0.561678:0.445611:0.546804:0.428976:0.546804:0.000000:0.000000:0.000000
( ):@0.433248:0.562294:0.451190:0.562294:0.451190:0.548137:0.433248:0.548137:0.000000:0.000000:0.000000
           h:@0.364781:0.580122:0.406595:0.580122:0.406595:0.565249:0.364781:0.565249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.406595:0.580122:0.410264:0.580122:0.410264:0.565223:0.406595:0.565223:0.000000
La ecuación cartesiana de la recta secante se define :@0.318025:0.595876:0.656504:0.595876:0.656504:0.580977:0.318025:0.580977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como: :@0.318025:0.610964:0.361112:0.610964:0.361112:0.596065:0.318025:0.596065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.360610:0.611580:0.366188:0.611580:0.366188:0.597423:0.360610:0.597423:0.000000
x, y:@0.365686:0.610964:0.383812:0.610964:0.383812:0.596090:0.365686:0.596090:0.000000:0.000000:0.000000:0.000000
) ∈:@0.383309:0.611580:0.403496:0.611580:0.403496:0.597423:0.383309:0.597423:0.000000:0.000000:0.000000
    2  tal que  :@0.388385:0.610964:0.477793:0.610964:0.477793:0.596065:0.388385:0.596065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.406159:0.610185:0.418255:0.610185:0.418255:0.598492:0.406159:0.598492:0.000000
y – f a  = Q h x – a   :@0.477290:0.610964:0.604223:0.610964:0.604223:0.596090:0.477290:0.596090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.500258:0.611580:0.518836:0.611580:0.518836:0.597423:0.500258:0.597423:0.000000:0.000000:0.000000
( )(:@0.543144:0.611580:0.567016:0.611580:0.567016:0.597423:0.543144:0.597423:0.000000:0.000000:0.000000:0.000000
):@0.593619:0.611580:0.599197:0.611580:0.599197:0.597423:0.593619:0.597423:0.000000
con:@0.603720:0.610964:0.628078:0.610964:0.628078:0.596065:0.603720:0.596065:0.000000:0.000000:0.000000
  h ≠  .:@0.627576:0.610964:0.665956:0.610964:0.665956:0.596090:0.627576:0.596090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.655251:0.610964:0.663426:0.610964:0.663426:0.596065:0.655251:0.596065:0.000000
Se calculan las :@0.686527:0.497342:0.786053:0.497342:0.786053:0.482443:0.686527:0.482443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproximaciones de :@0.686527:0.512429:0.816744:0.512429:0.816744:0.497530:0.686527:0.497530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acuerdo a la expresión: :@0.686527:0.527517:0.842842:0.527517:0.842842:0.512618:0.686527:0.512618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.690201:0.550334:0.696918:0.550334:0.696918:0.535609:0.690201:0.535609:0.000000
x:@0.731663:0.550334:0.738380:0.550334:0.738380:0.535609:0.731663:0.535609:0.000000
fx:@0.765068:0.541423:0.786811:0.541423:0.786811:0.526698:0.765068:0.526698:0.000000:0.000000
fx:@0.763513:0.559776:0.788324:0.559776:0.788324:0.545050:0.763513:0.545050:0.000000:0.000000
x:@0.690200:0.590398:0.696916:0.590398:0.696916:0.575673:0.690200:0.575673:0.000000
x:@0.751829:0.590398:0.758546:0.590398:0.758546:0.575673:0.751829:0.575673:0.000000
a:@0.788531:0.582333:0.796874:0.582333:0.796874:0.567607:0.788531:0.567607:0.000000
x:@0.784999:0.599833:0.791716:0.599833:0.791716:0.585108:0.784999:0.585108:0.000000
m:@0.824056:0.590398:0.837224:0.590398:0.837224:0.575673:0.824056:0.575673:0.000000
m:@0.697551:0.552138:0.705182:0.552138:0.705182:0.543604:0.697551:0.543604:0.000000
m:@0.739015:0.552138:0.746647:0.552138:0.746647:0.543604:0.739015:0.543604:0.000000
m:@0.787449:0.543229:0.795080:0.543229:0.795080:0.534695:0.787449:0.534695:0.000000
m:@0.788958:0.561581:0.796589:0.561581:0.796589:0.553047:0.788958:0.553047:0.000000
m:@0.697551:0.592202:0.705182:0.592202:0.705182:0.583668:0.697551:0.583668:0.000000
m:@0.759181:0.592202:0.766812:0.592202:0.766812:0.583668:0.759181:0.583668:0.000000
m:@0.792351:0.601645:0.799982:0.601645:0.799982:0.593111:0.792351:0.593111:0.000000
(:@0.772606:0.544195:0.753351:0.544195:0.753351:0.521489:0.772606:0.521489:0.000000
):@0.797384:0.544195:0.778129:0.544195:0.778129:0.521489:0.797384:0.521489:0.000000
(:@0.774116:0.562545:0.754860:0.562545:0.754860:0.539839:0.774116:0.539839:0.000000
):@0.798893:0.562545:0.779638:0.562545:0.779638:0.539839:0.798893:0.539839:0.000000
=:@0.718282:0.550870:0.727387:0.550870:0.727387:0.534651:0.718282:0.534651:0.000000
−:@0.750606:0.550870:0.759711:0.550870:0.759711:0.534651:0.750606:0.534651:0.000000
=:@0.718282:0.590935:0.674896:0.590935:0.674896:0.574716:0.718282:0.574716:0.000000
+:@0.770773:0.590935:0.727387:0.590935:0.727387:0.574716:0.770773:0.574716:0.000000
⎛:@0.741932:0.582060:0.748300:0.582060:0.748300:0.565841:0.741932:0.565841:0.000000
⎝:@0.741932:0.600868:0.748300:0.600868:0.748300:0.584649:0.741932:0.584649:0.000000
⎜:@0.741932:0.595640:0.748300:0.595640:0.748300:0.579421:0.741932:0.579421:0.000000
⎞:@0.803279:0.582060:0.809648:0.582060:0.809648:0.565841:0.803279:0.565841:0.000000
⎠:@0.803279:0.600868:0.809648:0.600868:0.809648:0.584649:0.803279:0.584649:0.000000
⎟:@0.803279:0.595640:0.809648:0.595640:0.809648:0.579421:0.803279:0.579421:0.000000
=:@0.839932:0.590935:0.849037:0.590935:0.849037:0.574716:0.839932:0.574716:0.000000
+:@0.705513:0.552448:0.710790:0.552448:0.710790:0.543049:0.705513:0.543049:0.000000
+:@0.705513:0.592512:0.710790:0.592512:0.710790:0.583112:0.705513:0.583112:0.000000
´:@0.769356:0.559776:0.774332:0.559776:0.774332:0.545026:0.769356:0.545026:0.000000
1:@0.732370:0.582337:0.740464:0.582337:0.740464:0.567587:0.732370:0.567587:0.000000
2:@0.731657:0.599837:0.739751:0.599837:0.739751:0.585087:0.731657:0.585087:0.000000
;:@0.812890:0.590402:0.815776:0.590402:0.815776:0.575652:0.812890:0.575652:0.000000
0, 1, 2,...:@0.851997:0.590402:0.898566:0.590402:0.898566:0.575652:0.851997:0.575652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.710649:0.552138:0.715340:0.552138:0.715340:0.543590:0.710649:0.543590:0.000000
1:@0.710649:0.592202:0.715340:0.592202:0.715340:0.583653:0.710649:0.583653:0.000000
Que es equivalente a::@0.686526:0.579968:0.829320:0.579968:0.829320:0.565069:0.686526:0.565069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.688084:0.569304:0.693994:0.569304:0.693994:0.555176:0.688084:0.555176:0.000000
x:@0.724566:0.569304:0.730476:0.569304:0.730476:0.555176:0.724566:0.555176:0.000000
fx:@0.753956:0.560753:0.773087:0.560753:0.773087:0.546624:0.753956:0.546624:0.000000:0.000000
fx:@0.752584:0.578357:0.774415:0.578357:0.774415:0.564229:0.752584:0.564229:0.000000:0.000000
x:@0.688084:0.607737:0.693994:0.607737:0.693994:0.593609:0.688084:0.593609:0.000000
x:@0.742311:0.607737:0.748221:0.607737:0.748221:0.593609:0.742311:0.593609:0.000000
a:@0.774605:0.599998:0.781945:0.599998:0.781945:0.585869:0.774605:0.585869:0.000000
x:@0.771496:0.616790:0.777407:0.616790:0.777407:0.602661:0.771496:0.602661:0.000000
m:@0.805863:0.607737:0.817449:0.607737:0.817449:0.593609:0.805863:0.593609:0.000000
m:@0.694552:0.571035:0.701267:0.571035:0.701267:0.562847:0.694552:0.562847:0.000000
m:@0.731037:0.571035:0.737752:0.571035:0.737752:0.562847:0.731037:0.562847:0.000000
m:@0.773653:0.562487:0.780368:0.562487:0.780368:0.554299:0.773653:0.554299:0.000000
m:@0.774981:0.580095:0.781696:0.580095:0.781696:0.571907:0.774981:0.571907:0.000000
m:@0.694552:0.609477:0.701267:0.609477:0.701267:0.601289:0.694552:0.601289:0.000000
m:@0.748780:0.609477:0.755495:0.609477:0.755495:0.601289:0.748780:0.601289:0.000000
m:@0.777966:0.618538:0.784681:0.618538:0.784681:0.610349:0.777966:0.610349:0.000000
(:@0.760591:0.563414:0.743649:0.563414:0.743649:0.541627:0.760591:0.541627:0.000000
):@0.782393:0.563414:0.765451:0.563414:0.765451:0.541627:0.782393:0.541627:0.000000
(:@0.761919:0.581020:0.744977:0.581020:0.744977:0.559233:0.761919:0.559233:0.000000
):@0.783721:0.581020:0.766779:0.581020:0.766779:0.559233:0.783721:0.559233:0.000000
=:@0.712792:0.569818:0.720803:0.569818:0.720803:0.554256:0.712792:0.554256:0.000000
−:@0.741233:0.569818:0.749245:0.569818:0.749245:0.554256:0.741233:0.554256:0.000000
=:@0.712792:0.608263:0.674617:0.608263:0.674617:0.592701:0.712792:0.592701:0.000000
+:@0.758978:0.608263:0.720803:0.608263:0.720803:0.592701:0.758978:0.592701:0.000000
⎛:@0.733601:0.599747:0.739205:0.599747:0.739205:0.584185:0.733601:0.584185:0.000000
⎝:@0.733601:0.617793:0.739205:0.617793:0.739205:0.602231:0.733601:0.602231:0.000000
⎜:@0.733601:0.612777:0.739205:0.612777:0.739205:0.597215:0.733601:0.597215:0.000000
⎞:@0.787580:0.599747:0.793184:0.599747:0.793184:0.584185:0.787580:0.584185:0.000000
⎠:@0.787580:0.617793:0.793184:0.617793:0.793184:0.602231:0.787580:0.602231:0.000000
⎟:@0.787580:0.612777:0.793184:0.612777:0.793184:0.597215:0.787580:0.597215:0.000000
=:@0.819830:0.608263:0.827842:0.608263:0.827842:0.592701:0.819830:0.592701:0.000000
+:@0.701558:0.571333:0.706201:0.571333:0.706201:0.562314:0.701558:0.562314:0.000000
+:@0.701558:0.609775:0.706201:0.609775:0.706201:0.600756:0.701558:0.600756:0.000000
´:@0.757732:0.578363:0.762110:0.578363:0.762110:0.564211:0.757732:0.564211:0.000000
1:@0.725190:0.600004:0.732311:0.600004:0.732311:0.585851:0.725190:0.585851:0.000000
2:@0.724562:0.616796:0.731684:0.616796:0.731684:0.602643:0.724562:0.602643:0.000000
;:@0.796038:0.607743:0.798577:0.607743:0.798577:0.593591:0.796038:0.593591:0.000000
0,1, 2,...:@0.830448:0.607743:0.871423:0.607743:0.871423:0.593591:0.830448:0.593591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.706076:0.571035:0.710203:0.571035:0.710203:0.562833:0.706076:0.562833:0.000000
1:@0.706076:0.609477:0.710203:0.609477:0.710203:0.601275:0.706076:0.601275:0.000000
Sucesiones de funciones:@0.407367:0.641221:0.583787:0.641221:0.583787:0.625857:0.407367:0.625857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Sea :@0.120898:0.661804:0.171892:0.661804:0.171892:0.646905:0.120898:0.646905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.171892:0.661804:0.183904:0.661804:0.183904:0.646930:0.171892:0.646930:0.000000:0.000000
⊂ :@0.183904:0.662420:0.200036:0.662420:0.200036:0.648263:0.183904:0.648263:0.000000:0.000000
R:@0.200036:0.661025:0.212131:0.661025:0.212131:0.649332:0.200036:0.649332:0.000000
,  A:@0.211964:0.661804:0.230023:0.661804:0.230023:0.646930:0.211964:0.646930:0.000000:0.000000:0.000000:0.000000
 ≠  . Se denota con :@0.230023:0.661804:0.367979:0.661804:0.367979:0.646905:0.230023:0.646905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∅:@0.247345:0.662420:0.261132:0.662420:0.261132:0.648263:0.247345:0.648263:0.000000
F A:@0.367979:0.661804:0.389372:0.661804:0.389372:0.646930:0.367979:0.646930:0.000000:0.000000:0.000000
( ):@0.375300:0.662420:0.394448:0.662420:0.394448:0.648263:0.375300:0.648263:0.000000:0.000000:0.000000
 el espacio :@0.393945:0.661804:0.467739:0.661804:0.467739:0.646905:0.393945:0.646905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectorial de funciones reales definidas en  .:@0.144636:0.679406:0.434551:0.679406:0.434551:0.664507:0.144636:0.664507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.422640:0.679406:0.431636:0.679406:0.431636:0.664533:0.422640:0.664533:0.000000
•  Sea :@0.120898:0.700567:0.171892:0.700567:0.171892:0.685668:0.120898:0.685668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.171892:0.700567:0.183904:0.700567:0.183904:0.685693:0.171892:0.685693:0.000000:0.000000
⊂ :@0.183904:0.701183:0.200036:0.701183:0.200036:0.687026:0.183904:0.687026:0.000000:0.000000
R:@0.200036:0.699787:0.212131:0.699787:0.212131:0.688094:0.200036:0.688094:0.000000
,  A:@0.211964:0.700567:0.230023:0.700567:0.230023:0.685693:0.211964:0.685693:0.000000:0.000000:0.000000:0.000000
 ≠  ,         con    ≠ 0.  A toda función :@0.230023:0.700567:0.488930:0.700567:0.488930:0.685668:0.230023:0.685668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∅:@0.247345:0.701183:0.261132:0.701183:0.261132:0.687026:0.247345:0.687026:0.000000
I:@0.271385:0.700567:0.274869:0.700567:0.274869:0.685693:0.271385:0.685693:0.000000
⊂:@0.278538:0.701183:0.290482:0.701183:0.290482:0.687026:0.278538:0.687026:0.000000
N:@0.294151:0.699787:0.307185:0.699787:0.307185:0.688094:0.294151:0.688094:0.000000
I:@0.347055:0.700567:0.350540:0.700567:0.350540:0.685693:0.347055:0.685693:0.000000
ϕ :@0.144636:0.718785:0.158926:0.718785:0.158926:0.704628:0.144636:0.704628:0.000000:0.000000
de   en :@0.158926:0.718169:0.207759:0.718169:0.207759:0.703270:0.158926:0.703270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.179833:0.718169:0.183317:0.718169:0.183317:0.703295:0.179833:0.703295:0.000000
F A:@0.207759:0.718169:0.229152:0.718169:0.229152:0.703295:0.207759:0.703295:0.000000:0.000000:0.000000
( ):@0.215080:0.718785:0.234228:0.718785:0.234228:0.704628:0.215080:0.704628:0.000000:0.000000:0.000000
 se la llama sucesión de funciones.:@0.233725:0.718169:0.461154:0.718169:0.461154:0.703270:0.233725:0.703270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación: :@0.503020:0.661804:0.576446:0.661804:0.576446:0.646440:0.503020:0.646440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si  es una sucesión de funciones, se tiene::@0.576446:0.661804:0.861066:0.661804:0.861066:0.646905:0.576446:0.646905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ϕ :@0.589864:0.662420:0.604154:0.662420:0.604154:0.648263:0.589864:0.648263:0.000000:0.000000
 :@0.623302:0.689314:0.626971:0.689314:0.626971:0.674415:0.623302:0.674415:0.000000
ϕ:@0.627820:0.691030:0.637821:0.691030:0.642575:0.674811:0.632574:0.674811:0.000000
ϕ:@0.691513:0.700116:0.701513:0.700116:0.706267:0.683898:0.696267:0.683898:0.000000
= ⎨:@0.643023:0.691030:0.663941:0.692973:0.663941:0.676754:0.643023:0.674811:0.000000:0.000000:0.000000
→:@0.670492:0.681447:0.686861:0.681447:0.686861:0.665228:0.670492:0.665228:0.000000
→:@0.674638:0.700118:0.691008:0.700118:0.691008:0.683899:0.674638:0.683899:0.000000
=:@0.724824:0.700118:0.733929:0.700118:0.733929:0.683899:0.724824:0.683899:0.000000
⎧:@0.655748:0.682505:0.663941:0.682505:0.663941:0.666286:0.655748:0.666286:0.000000
⎩:@0.655745:0.703442:0.663938:0.703442:0.663938:0.687223:0.655745:0.687223:0.000000
():@0.697678:0.680911:0.717762:0.680911:0.717762:0.666161:0.697678:0.666161:0.000000:0.000000
( ):@0.703565:0.699582:0.722331:0.699582:0.722331:0.684832:0.703565:0.684832:0.000000:0.000000:0.000000
I:@0.663994:0.680911:0.667444:0.680911:0.667444:0.666186:0.663994:0.666186:0.000000
F A:@0.689483:0.680911:0.713042:0.680911:0.713042:0.666186:0.689483:0.666186:0.000000:0.000000:0.000000
n:@0.664319:0.699582:0.672877:0.699582:0.672877:0.684857:0.664319:0.684857:0.000000
n:@0.709032:0.699582:0.717589:0.699582:0.717589:0.684857:0.709032:0.684857:0.000000
f:@0.736878:0.699582:0.741107:0.699582:0.741107:0.684857:0.736878:0.684857:0.000000
n:@0.740931:0.701386:0.745891:0.701386:0.745891:0.692852:0.740931:0.692852:0.000000
Donde para cada     :@0.503018:0.726619:0.648714:0.726619:0.648714:0.711720:0.503018:0.711720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.621290:0.726619:0.629935:0.726619:0.629935:0.711746:0.621290:0.711746:0.000000
∈:@0.633268:0.727235:0.645213:0.727235:0.645213:0.713078:0.633268:0.713078:0.000000
I,  f  :@0.648546:0.726619:0.672481:0.726619:0.672481:0.711746:0.648546:0.711746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.664525:0.729495:0.669564:0.729495:0.669564:0.720824:0.664525:0.720824:0.000000
 es una función real definida :@0.672313:0.726619:0.863892:0.726619:0.863892:0.711720:0.672313:0.711720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en  .:@0.503013:0.741707:0.535697:0.741707:0.535697:0.726808:0.503013:0.726808:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.523786:0.741707:0.532782:0.741707:0.532782:0.726833:0.523786:0.726833:0.000000
El método de Newton es empleado para determinar las :@0.115209:0.167757:0.523068:0.167757:0.523068:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces reales de la ecuación  ( ) = 0 que son las intersec-:@0.115209:0.184353:0.518923:0.184353:0.518923:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.316514:0.184353:0.333560:0.184353:0.333560:0.167992:0.316514:0.167992:0.000000:0.000000:0.000000
ciones respecto al eje   de la gráfica:@0.115209:0.200949:0.376953:0.200949:0.376953:0.184560:0.115209:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.276965:0.200949:0.284428:0.200949:0.284428:0.184588:0.276965:0.184588:0.000000
 y = f x:@0.376953:0.200949:0.422414:0.200949:0.422414:0.184588:0.376953:0.184588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.410068:0.200949:0.430504:0.200949:0.430504:0.184560:0.410068:0.184560:0.000000:0.000000:0.000000:0.000000
Sea   una raíz real desconocida de  ( ) = 0, entonces por :@0.115209:0.224668:0.522978:0.224668:0.522978:0.208279:0.115209:0.208279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.144914:0.224668:0.150203:0.224668:0.150203:0.208307:0.144914:0.208307:0.000000
f x:@0.365274:0.224668:0.382319:0.224668:0.382319:0.208307:0.365274:0.208307:0.000000:0.000000:0.000000
el método de Newton podemos hallar  0,  1,  2,  3 apro-:@0.115209:0.241265:0.518995:0.241265:0.518995:0.224876:0.115209:0.224876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x x x:@0.402586:0.241265:0.470125:0.241265:0.470125:0.224903:0.402586:0.224903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ximaciones para  .:@0.115209:0.257861:0.246893:0.257861:0.246893:0.241472:0.115209:0.241472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.238398:0.257861:0.243686:0.257861:0.243686:0.241500:0.238398:0.241500:0.000000
Si  0 es aproximación para  , una mejor aproximación :@0.115209:0.281580:0.523031:0.281580:0.523031:0.265191:0.115209:0.265191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.133802:0.281580:0.141266:0.281580:0.141266:0.265219:0.133802:0.265219:0.000000
r:@0.320290:0.281580:0.325579:0.281580:0.325579:0.265219:0.320290:0.265219:0.000000
está dada por  1, punto de intersección de la recta tan-:@0.115209:0.298176:0.519032:0.298176:0.519032:0.281788:0.115209:0.281788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.221149:0.298176:0.228613:0.298176:0.228613:0.281815:0.221149:0.281815:0.000000
gente a :@0.115209:0.314773:0.175007:0.314773:0.175007:0.298384:0.115209:0.298384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f x:@0.175007:0.314773:0.217151:0.314773:0.217151:0.298412:0.175007:0.298412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) en el punto ( 0,  ( 0)) con el eje  .:@0.204804:0.314773:0.462255:0.314773:0.462255:0.298384:0.204804:0.298384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.319938:0.314773:0.357402:0.314773:0.357402:0.298412:0.319938:0.298412:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.451585:0.314773:0.459048:0.314773:0.459048:0.298412:0.451585:0.298412:0.000000
Como  1 es también una aproximación para  , entonces :@0.115209:0.338492:0.522976:0.338492:0.522976:0.322103:0.115209:0.322103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.164319:0.338492:0.171782:0.338492:0.171782:0.322131:0.164319:0.322131:0.000000
r:@0.438319:0.338492:0.443608:0.338492:0.443608:0.322131:0.438319:0.322131:0.000000
la tangente a :@0.115209:0.355088:0.214034:0.355088:0.214034:0.338699:0.115209:0.338699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f x:@0.213426:0.355088:0.254575:0.355088:0.254575:0.338727:0.213426:0.338727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) en el punto ( 1,  ( 1)) corta al eje   en :@0.242229:0.355088:0.523068:0.355088:0.523068:0.338699:0.242229:0.338699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.354930:0.355088:0.389891:0.355088:0.389891:0.338727:0.354930:0.338727:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.489327:0.355088:0.496790:0.355088:0.496790:0.338727:0.489327:0.338727:0.000000
x:@0.115209:0.371685:0.122672:0.371685:0.122672:0.355323:0.115209:0.355323:0.000000
2, que es todavía un mejor punto de aproximación para :@0.122672:0.371685:0.523066:0.371685:0.523066:0.355296:0.122672:0.355296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.115209:0.388281:0.120498:0.388281:0.120498:0.371920:0.115209:0.371920:0.000000
. Aplicando este procedimiento un número suficiente :@0.120498:0.388281:0.523011:0.388281:0.523011:0.371892:0.120498:0.371892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de veces, la raíz   se puede determinar con tantas cifras :@0.115209:0.404877:0.523086:0.404877:0.523086:0.388488:0.115209:0.388488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.232648:0.404877:0.237937:0.404877:0.237937:0.388516:0.232648:0.388516:0.000000
decimales como se desee.:@0.115209:0.421474:0.306982:0.421474:0.306982:0.405085:0.115209:0.405085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.558638:0.391148:0.567232:0.391148:0.567232:0.376035:0.558638:0.376035:0.000000
x:@0.864621:0.366769:0.871405:0.366769:0.871405:0.351895:0.864621:0.351895:0.000000
Cuarto Tercero:@0.621041:0.398717:0.709560:0.398717:0.709560:0.383880:0.621041:0.383880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.646603:0.385228:0.652709:0.385228:0.652709:0.371842:0.646603:0.371842:0.000000
:@0.652332:0.385228:0.656268:0.385228:0.656268:0.371876:0.652332:0.371876:0.000000
x:@0.762939:0.385228:0.769045:0.385228:0.769045:0.371842:0.762939:0.371842:0.000000
:@0.768668:0.385228:0.771759:0.385228:0.771759:0.371876:0.768668:0.371876:0.000000
x:@0.677451:0.385228:0.683557:0.385228:0.683557:0.371842:0.677451:0.371842:0.000000
:@0.683180:0.385228:0.687221:0.385228:0.687221:0.371876:0.683180:0.371876:0.000000
x:@0.829293:0.385228:0.835399:0.385228:0.835399:0.371842:0.829293:0.371842:0.000000
:@0.835022:0.385228:0.839425:0.385228:0.839425:0.371876:0.835022:0.371876:0.000000
Aproximaciones:@0.664880:0.412725:0.772564:0.412725:0.772564:0.397613:0.664880:0.397613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segundo Primero:@0.744420:0.398719:0.855690:0.398719:0.855690:0.383883:0.744420:0.383883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  f x:@0.789754:0.181549:0.830774:0.181549:0.830774:0.165188:0.789754:0.165188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=  ( ):@0.799631:0.181549:0.835657:0.181549:0.835657:0.165160:0.799631:0.165160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  ( )):@0.767936:0.215115:0.824251:0.215115:0.824251:0.198726:0.767936:0.198726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x , f x:@0.772819:0.215115:0.808771:0.215115:0.808771:0.198754:0.772819:0.198754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  ( )):@0.704121:0.295539:0.756750:0.295539:0.756750:0.279150:0.704121:0.279150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x , f x:@0.709004:0.295539:0.743114:0.295539:0.743114:0.279177:0.709004:0.279177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  ( )):@0.635607:0.347388:0.691037:0.347388:0.691037:0.331000:0.635607:0.331000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x , f x:@0.640490:0.347388:0.676000:0.347388:0.676000:0.331027:0.640490:0.331027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.581145:0.347202:0.586512:0.347202:0.586512:0.333375:0.581145:0.333375:0.000000
: Raíz :@0.586512:0.347202:0.619426:0.347202:0.619426:0.333793:0.586512:0.333793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buscada:@0.581145:0.358518:0.631714:0.358518:0.631714:0.345109:0.581145:0.345109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.586804:0.174898:0.593605:0.174898:0.593605:0.160024:0.586804:0.160024:0.000000
=:@0.431601:0.810773:0.441718:0.810773:0.441718:0.792752:0.431601:0.792752:0.000000
<<:@0.439249:0.833358:0.475385:0.833358:0.475385:0.815337:0.439249:0.815337:0.000000:0.000000
=:@0.438309:0.863065:0.418794:0.863065:0.418794:0.845045:0.438309:0.845045:0.000000
+:@0.482707:0.863065:0.463192:0.863065:0.463192:0.845045:0.482707:0.845045:0.000000
=:@0.512338:0.863065:0.492823:0.863065:0.492823:0.845045:0.512338:0.845045:0.000000
20:@0.445017:0.810178:0.462799:0.810178:0.462799:0.793789:0.445017:0.793789:0.000000:0.000000
4:@0.419365:0.832763:0.428358:0.832763:0.428358:0.816374:0.419365:0.816374:0.000000
5:@0.478315:0.832763:0.487308:0.832763:0.487308:0.816374:0.478315:0.816374:0.000000
x:@0.419365:0.862471:0.427271:0.862471:0.427271:0.846082:0.419365:0.846082:0.000000
1:@0.453972:0.853509:0.462965:0.853509:0.462965:0.837120:0.453972:0.837120:0.000000
2:@0.453170:0.872963:0.462163:0.872963:0.462163:0.856574:0.453170:0.856574:0.000000
(4 5) 4,5:@0.464165:0.862473:0.549897:0.862473:0.549897:0.846084:0.464165:0.846084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.429192:0.825109:0.434404:0.825109:0.434404:0.815610:0.429192:0.815610:0.000000
2:@0.486991:0.825109:0.492202:0.825109:0.492202:0.815610:0.486991:0.815610:0.000000
0:@0.428039:0.864480:0.433250:0.864480:0.433250:0.854982:0.428039:0.854982:0.000000
a:@0.418985:0.810178:0.428254:0.810178:0.428254:0.793817:0.418985:0.793817:0.000000
a:@0.452652:0.832763:0.461921:0.832763:0.461921:0.816402:0.452652:0.816402:0.000000
      :@0.556985:0.841996:0.579872:0.841996:0.579872:0.825095:0.556985:0.825095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.599919:0.793092:0.548101:0.793092:0.548101:0.775071:0.599919:0.775071:0.000000
+:@0.661855:0.793092:0.610036:0.793092:0.610036:0.775071:0.661855:0.775071:0.000000
⎛:@0.626197:0.784959:0.633273:0.784959:0.633273:0.766939:0.626197:0.766939:0.000000
⎝:@0.626197:0.802399:0.633273:0.802399:0.633273:0.784379:0.626197:0.784379:0.000000
⎜:@0.626197:0.796591:0.633273:0.796591:0.633273:0.778570:0.626197:0.778570:0.000000
⎞:@0.701585:0.784959:0.708661:0.784959:0.708661:0.766939:0.701585:0.766939:0.000000
⎠:@0.701585:0.802399:0.708661:0.802399:0.708661:0.784379:0.701585:0.784379:0.000000
⎟:@0.701585:0.796591:0.708661:0.796591:0.708661:0.778570:0.701585:0.778570:0.000000
=:@0.713839:0.793092:0.723956:0.793092:0.723956:0.775071:0.713839:0.775071:0.000000
=:@0.602167:0.834112:0.514010:0.834112:0.514010:0.816091:0.602167:0.816091:0.000000
+:@0.700442:0.834112:0.612284:0.834112:0.612284:0.816091:0.700442:0.816091:0.000000
⎛:@0.628445:0.825980:0.635521:0.825980:0.635521:0.807959:0.628445:0.807959:0.000000
⎝:@0.628445:0.843420:0.635521:0.843420:0.635521:0.825399:0.628445:0.825399:0.000000
⎜:@0.628445:0.837611:0.635521:0.837611:0.635521:0.819591:0.628445:0.819591:0.000000
⎞:@0.776493:0.825980:0.783569:0.825980:0.783569:0.807959:0.776493:0.807959:0.000000
⎠:@0.776493:0.843420:0.783569:0.843420:0.783569:0.825399:0.776493:0.825399:0.000000
⎟:@0.776493:0.837611:0.783569:0.837611:0.783569:0.819591:0.776493:0.819591:0.000000
=:@0.788747:0.834112:0.798864:0.834112:0.798864:0.816091:0.788747:0.816091:0.000000
=:@0.602167:0.875133:0.513273:0.875133:0.513273:0.857112:0.602167:0.857112:0.000000
+:@0.701166:0.875133:0.612271:0.875133:0.612271:0.857112:0.701166:0.857112:0.000000
⎛:@0.628445:0.867001:0.635521:0.867001:0.635521:0.848980:0.628445:0.848980:0.000000
⎝:@0.628445:0.884441:0.635521:0.884441:0.635521:0.866420:0.628445:0.866420:0.000000
⎜:@0.628445:0.878632:0.635521:0.878632:0.635521:0.860611:0.628445:0.860611:0.000000
⎞:@0.777967:0.867001:0.785043:0.867001:0.785043:0.848980:0.777967:0.848980:0.000000
⎠:@0.777967:0.884441:0.785043:0.884441:0.785043:0.866420:0.777967:0.866420:0.000000
⎟:@0.777967:0.878632:0.785043:0.878632:0.785043:0.860611:0.777967:0.860611:0.000000
=:@0.790221:0.875133:0.800338:0.875133:0.800338:0.857112:0.790221:0.857112:0.000000
1:@0.615583:0.783535:0.624575:0.783535:0.624575:0.767146:0.615583:0.767146:0.000000
2:@0.614790:0.802980:0.623783:0.802980:0.623783:0.786591:0.614790:0.786591:0.000000
4,5:@0.636461:0.792497:0.659905:0.792497:0.659905:0.776108:0.636461:0.776108:0.000000:0.000000:0.000000
20:@0.679029:0.783535:0.696812:0.783535:0.696812:0.767146:0.679029:0.767146:0.000000:0.000000
4,5:@0.676928:0.802980:0.700372:0.802980:0.700372:0.786591:0.676928:0.786591:0.000000:0.000000:0.000000
4,472 22:@0.727973:0.792497:0.792599:0.792497:0.792599:0.776108:0.727973:0.776108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.617831:0.824556:0.626824:0.824556:0.626824:0.808167:0.617831:0.808167:0.000000
2:@0.617039:0.844001:0.626031:0.844001:0.626031:0.827612:0.617039:0.827612:0.000000
4,47222:@0.638709:0.833518:0.698043:0.833518:0.698043:0.817129:0.638709:0.817129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.735768:0.824556:0.753550:0.824556:0.753550:0.808167:0.735768:0.808167:0.000000:0.000000
4,47222:@0.715516:0.844001:0.774849:0.844001:0.774849:0.827612:0.715516:0.827612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4,472 14:@0.802881:0.833518:0.866355:0.833518:0.866355:0.817129:0.802881:0.817129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.617812:0.865576:0.626805:0.865576:0.626805:0.849187:0.617812:0.849187:0.000000
2:@0.617020:0.885022:0.626013:0.885022:0.626013:0.868633:0.617020:0.868633:0.000000
4,47214:@0.638691:0.874538:0.698024:0.874538:0.698024:0.858149:0.638691:0.858149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.736855:0.865576:0.754638:0.865576:0.754638:0.849187:0.736855:0.849187:0.000000:0.000000
4,47214:@0.716234:0.885022:0.775568:0.885022:0.775568:0.868633:0.716234:0.868633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4,472 14:@0.804337:0.874538:0.867811:0.874538:0.867811:0.858149:0.804337:0.858149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.591439:0.794501:0.596651:0.794501:0.596651:0.785003:0.591439:0.785003:0.000000
2:@0.592123:0.835523:0.597334:0.835523:0.597334:0.826025:0.592123:0.826025:0.000000
2:@0.592123:0.876545:0.597334:0.876545:0.597334:0.867047:0.592123:0.867047:0.000000
x:@0.583953:0.792497:0.591416:0.792497:0.591416:0.776136:0.583953:0.776136:0.000000
x:@0.583953:0.833518:0.591416:0.833518:0.591416:0.817156:0.583953:0.817156:0.000000
x:@0.583953:0.874538:0.591416:0.874538:0.591416:0.858177:0.583953:0.858177:0.000000
√20 = 4,472 14:@0.587844:0.909435:0.697053:0.909435:0.697053:0.893046:0.587844:0.893046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000