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UBA - CienciaS Foro de Alumnos 2009-06-02T00:43:35-03:00 http://ubacs.com.ar/ubacs/feed.php?f=80&t=1149 2009-06-02T00:43:35-03:00 2009-06-02T00:43:35-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6793#p6793 <![CDATA[Re: ej 8]]> Estadísticas: Publicado por Martin — 02 Jun 2009, 00:43


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2009-06-01T23:07:32-03:00 2009-06-01T23:07:32-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6784#p6784 <![CDATA[Re: ej 8]]> Estadísticas: Publicado por exequiel131719 — 01 Jun 2009, 23:07


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2009-06-01T23:04:08-03:00 2009-06-01T23:04:08-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6783#p6783 <![CDATA[Re: ej 8]]> En este caso, para cada existe tal que . En particular, podés elegir los . Luego, tenés una subsucesión que verifica . Tomando límite superior, te queda:

En particular, pueden elegirse esos de manera tal que la subsucesión que te quede tenga límite y sea el límite superior de (recordá que el límite superior verifica que existe una subsucesión que converge a tal valor) De acá sacás tal desigualdad
Si no se termina de entender, avisá

Estadísticas: Publicado por exequiel131719 — 01 Jun 2009, 23:04


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2009-06-01T22:56:37-03:00 2009-06-01T22:56:37-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6781#p6781 <![CDATA[Re: ej 8]]>
y
y
y
por lo tanto

¿No debería ser ?

si es así igual ya lo tenés por que , que es lo que queríamos probar.

Estadísticas: Publicado por Martin — 01 Jun 2009, 22:56


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2009-06-01T21:58:42-03:00 2009-06-01T21:58:42-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6778#p6778 <![CDATA[Re: ej 8]]>
Edit:
Hay una sola cosa que no me queda clara, lo sabía pero no se bien por q es, y es la siguiente:
Vos decís que si

Entiendo que como es , entonces podes tomar límite de tendiendo a 0, pero no veo por que ese paso te cambia la desigualdad estricta en un menor igual. De nuevo gracias.

Estadísticas: Publicado por Martin — 01 Jun 2009, 21:58


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2009-05-31T02:46:45-03:00 2009-05-31T02:46:45-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6742#p6742 <![CDATA[Re: ej 8]]>
Espero que se haya entendido. Saludos.

Estadísticas: Publicado por exequiel131719 — 31 May 2009, 02:46


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2009-05-30T20:07:48-03:00 2009-05-30T20:07:48-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=1149&p=6723#p6723 <![CDATA[ej 8]]> 8. Si y
.
Si además mayor o igual a 0


Hay que probar esas cosas. No me salió la 2da parte de este ej., probar que
Si mayor o igual a 0


Se me ocurrio usar la propiedad del lim sup siguiente:






con eso probe la primer igualdad, pero no supe usarlo para lo segundo, por ahi no es esa la movida o por ahi no vi algo, no se pero la cuestion es q no salió. Al q conteste muchas gracias

Estadísticas: Publicado por Martin — 30 May 2009, 20:07


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