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#1 2013-11-14 22:37:08

slah04
Member
Registered: 2013-11-14
Posts: 3

Infinity Limit Problem - cannot solve

Hi,


i am not able to solve this problem

Lim      (1^99 + 2^99 + 3^99+......+n^99) / n^100
n -> ∞             

The answer given is  1 / 100

Please help

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#2 2013-11-14 22:49:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Infinity Limit Problem - cannot solve

Use the Stolz theorem.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#3 2013-11-15 02:40:29

slah04
Member
Registered: 2013-11-14
Posts: 3

Re: Infinity Limit Problem - cannot solve

Could you please elaborate..

San

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#4 2013-11-15 03:45:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: Infinity Limit Problem - cannot solve


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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