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#1 2009-03-11 03:32:21
- nanner897
- Member
- Registered: 2009-01-26
- Posts: 1
Power Series Proof
Hi everyone. I'm stumped with one of my real analysis homework problems:
Let ∑an be a series and Sn its sequence of partial sums. Suppose ∑an*x^n converges when |x|<1 to f(x). Show that ∑Sn*x^n = f(x)/(1-x) for |x|<1.
Thanks very much!
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#2 2009-03-11 07:59:41
- Kurre
- Member
- Registered: 2006-07-18
- Posts: 280
Re: Power Series Proof
Hint:
Go backwards and use that:
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#3 2009-03-12 14:47:33
- devian18
- Member
- Registered: 2009-02-24
- Posts: 12
Re: Power Series Proof
hey people i ned help. what is 34589-90876
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#4 2009-05-16 10:35:42
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Power Series Proof
-56287 did this in my head for practice.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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