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UBA - CienciaS :: Ver Tema - [No Resuelto]- Preliminares- Ejercicio 11 (2009)
UBA - CienciaS
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[No Resuelto]- Preliminares- Ejercicio 11 (2009)
http://ubacs.com.ar/ubacs/viewtopic.php?f=12&t=941		 Página 1 de 1
Autor:  Mr. Satán [ 22 Mar 2009, 21:55 ]
Asunto:  [No Resuelto]- Preliminares- Ejercicio 11 (2009)
No puedo con este ejercicio:

Dada la sucesion :
c)Usando que para todo , compruebe que 3 es una cota superior de esta sucesion.

Concluya que existe el limite al que llamaremos y que cumple
Autor:  exequiel131719 [ 23 Mar 2009, 03:47 ]
Asunto:  Re: [No Resuelto]- Preliminares- Ejercicio 11 (2009)
Bueno, acá va la resolución:

Espero que quede claro. Se me pudo escapar algo(o bastante), pero esa es la idea. Saludos.
Autor:  Mr. Satán [ 23 Mar 2009, 18:55 ]
Asunto:  Re: [Resuelto]- Preliminares- Ejercicio 11 (2009)
Gracias exequiel131719!! :D

Está muy claro y ademas resolviste todo el 11, incluso los items anteriores al c):

a) probar que es monotona creciente (también me había trabado acá con la sumatoria)

b) comprobar que esta acotada inferiormente y calcular el minimo (sale gratis sabiendo que es monotona creciente)


Igual me quedé pensando si no está mal puesto este ejercicio al principio, porque recién comenzadas las clases es muy raro tener un claro manejo de las sumatorias y de las acotaciones...

gracias nuevamente!
Autor:  Pepi [ 12 Abr 2009, 22:19 ]
Asunto:  .
.
Autor:  Quimey [ 12 Abr 2009, 22:45 ]
Asunto:  Re: [No Resuelto]- Preliminares- Ejercicio 11 (2009)
Autor:  Pepi [ 12 Abr 2009, 23:04 ]
Asunto:  .
.
Autor:  Diego.- [ 14 Abr 2009, 22:08 ]
Asunto:  Re: [No Resuelto]- Preliminares- Ejercicio 11 (2009)
Autor:  exequiel131719 [ 07 Jun 2009, 01:13 ]
Asunto:  Re: [No Resuelto]- Preliminares- Ejercicio 11 (2009)
No se si se acuerdan de este post... pero bueno, acá va otra demostración en , para cerrar.
PD: ¿a esta demostración te referías, Juan?
PD 2:ojo, que tiene errores. Al menos en la primera proposición deberían ir todos (salvo el primero, si recuerdo bien), y se está usando que la media geométrica siempre es menor o igual que la media aritmética(si los números involucrados son no negativos).
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