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
- References:
- Sum[n^(-n), {n, 1, Infinity}]
- From: "Jack Kennedy" <jack@realmode.com>
- Sum[n^(-n), {n, 1, Infinity}]