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SumConvergence mistake?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117899] SumConvergence mistake?
  • From: Jon Joseph <josco.jon at gmail.com>
  • Date: Sat, 2 Apr 2011 17:06:42 -0500 (EST)

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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