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#1 2005-11-19 02:18:26

Barak
Member
Registered: 2005-11-19
Posts: 1

Could someone help me please? :-)

Question:

prove that if |a|<0 then
  lim    n(a^n) = 0
n-> ∞

please give me a hint or an explaination to how to solve this problem.
:-)

Barak

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#2 2005-11-19 03:54:16

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: Could someone help me please? :-)

Let a ∈ ℝ. Accoding to you condition,  |a|<0, we can build the set:
A = {a ∈ ℝ : |a|<0}
From the definition of absolute value, we conclude that A = ∅. So with |a|<0...."there's nothing left to prove". : )

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#3 2005-11-19 08:15:21

zhaobin
Member
Registered: 2005-11-19
Posts: 1

Re: Could someone help me please? :-)

I think he mean |a|<1

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#4 2005-11-19 08:36:43

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: Could someone help me please? :-)

He hasn't complained yet smile

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