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Topic: Is this series uniformly convergent for x != 0 ?
Replies: 5   Last Post: Feb 11, 2013 5:28 AM

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David Petry

Posts: 1,103
Registered: 12/8/04
Re: Is this series uniformly convergent for x != 0 ?
Posted: Feb 11, 2013 5:28 AM
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On Sunday, February 10, 2013 8:35:32 PM UTC-8, vv wrote:
> I'd be grateful if someone can throw light on whether or not the
>
> following series is uniformly convergent for x not equal to zero:
>
>
>
> \sum_{n=1}^infty exp(-ixn)/n


It might help to look at the Taylor series with remainder formula for -log(1-y) and let y = exp(-ix)




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