Re: SumConvergence mistake?
- To: mathgroup at smc.vnet.net
- Subject: [mg117905] Re: SumConvergence mistake?
- From: DrMajorBob <btreat1 at austin.rr.com>
- Date: Sun, 3 Apr 2011 06:59:32 -0400 (EDT)
You are right, and SumConvergence is wrong:
NSum[(-1)^k Log[k]/k, {k, Infinity}]
0.159869
Sum[(-1)^k Log[k]/k, {k, Infinity}]
N@%
1/2 (2 EulerGamma Log[2] - Log[2]^2)
0.159869
Bobby
On Sat, 02 Apr 2011 17:06:42 -0500, Jon Joseph <josco.jon at gmail.com> wrote:
> 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.
--
DrMajorBob at yahoo.com