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SumConvergence mistake?

Started byJon Joseph <josco.jon@gmail.com>
First post2011-04-02 22:06 +0000
Last post2011-04-02 22:06 +0000
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  SumConvergence mistake? Jon Joseph <josco.jon@gmail.com> - 2011-04-02 22:06 +0000

#1436 — SumConvergence mistake?

FromJon Joseph <josco.jon@gmail.com>
Date2011-04-02 22:06 +0000
SubjectSumConvergence mistake?
Message-ID<in86la$9v7$1@smc.vnet.net>
All: The following test for conditional convergence appears to give the wrong answer. By the Alternating Series test I think the sum should conditionally converge. Any comment or correction?

SumConvergence[(-1)^k Log[k]/k, k]

False (* I think should be true *)

and

SumConvergence[ Log[k]/k, k]

is correctly

False

Jon.

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