# Resolver Indeterminaci?n 1 Elevado A Infinito

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### #1 abelmartin

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Posted 20 April 2005 - 07:22 PM

Me he puesto a resolver l?mites, que antes hac?a mediante el n?mero e, y me sale siempre 1. ?Alguien sabe resolver este tipo de limites?
Por ejemplo lim(1+8/n)^n
Un saludo

Edit:
Abel needs to know how to solve that limit. He said that he did it before using the "e" expression but the result was always "1". Also i dont know how to do it , i did it manually in school for one of the final exams.

### #2 John

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Posted 22 April 2005 - 09:39 PM

You can do the following:
1. Expand the expression using the Binomial Theorem
2. Take out n
3. When n tends towards zero the right side of the expression also tends to zero, so the limit it equal to 1.

### #3 Overlord

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Posted 23 April 2005 - 02:07 PM

in fact, lim (1+a/n)^n

is e^a for the lim n->+inf
is 1 for the lim n->0

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