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Groups > comp.soft-sys.math.mathematica > #1436

SumConvergence mistake?

From Jon Joseph <josco.jon@gmail.com>
Newsgroups comp.soft-sys.math.mathematica
Subject SumConvergence mistake?
Date 2011-04-02 22:06 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <in86la$9v7$1@smc.vnet.net> (permalink)

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

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