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UBA - CienciaS • Ver Tema - [Pregunta] Final 16-06-04 ejercicio 1) ii)
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bel
 Asunto: [Pregunta] Final 16-06-04 ejercicio 1) ii)
NotaPublicado: 13 Mar 2010, 23:45 
Doctor
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Registrado: 09 Ago 2008, 19:30
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El ítem i) es demosrar la convergencia del método de punto fijo, el ítem ii) pide calcular el valor de la siguiente expresión:






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 Asunto: Re: [Pregunta] Final 16-06-04 ejercicio 1) ii)
NotaPublicado: 14 Mar 2010, 06:26 
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Registrado: 08 Ago 2008, 21:57
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Está bien lo que pensás....solo hay que escribirlo mejor y listo.

La expresión pedida es igual a donde puede definirse por recurrencia así: y

Entonces considerás la g que vos decís. Notá que la sucesión de punto fijo es la misma que definí arriba. Verificás que g cumple las hipótesis y luego sab}es qe converge a un punto fijo.

Así que L va aser el punto fijo de g, que es 2.

luego


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