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Re: Sum[n^(-n), {n, 1, Infinity}]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93296] Re: [mg93276] Sum[n^(-n), {n, 1, Infinity}]
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Mon, 3 Nov 2008 05:26:05 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200811020656.BAA02609@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

Mathematica 6.0.3:  Sum[n^(-n),{n,1,Infinity}] returns unevaluated.  But:

   NSum[n^(-n),{n,1,Infinity}]
1.2912859970626636



Jack Kennedy wrote:
> Sum[n^(-n), {n, 1, Infinity}]
> Surely this sum converges (~ 1.29).Mathematica 5.1 says it's infinity.
> What's going on?
> 
> Thanks,
> Jack
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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