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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93302] Re: Sum[n^(-n), {n, 1, Infinity}]
  • From: "sjoerd.c.devries at gmail.com" <sjoerd.c.devries at gmail.com>
  • Date: Mon, 3 Nov 2008 05:27:10 -0500 (EST)
  • References: <gejiuo$2hf$1@smc.vnet.net>

Mathematica 6 returns the Sum unevaluated (that's OK). If I try
N[Sum[n^(-n), {n, 1, Infinity}], 10] I get 1.291285997. Looks good,
doesn't it?

Cheers -- Sjoerd


On Nov 2, 8:56 am, "Jack Kennedy" <j... at realmode.com> 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



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