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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93301] Re: [mg93276] Sum[n^(-n), {n, 1, Infinity}]
  • From: Artur <grafix at csl.pl>
  • Date: Mon, 3 Nov 2008 05:27:00 -0500 (EST)
  • References: <200811020656.BAA02609@smc.vnet.net>
  • Reply-to: grafix at csl.pl

Jack,
Try
N[Integrate[1/x^x, {x, 0, 1}],500]
not
N[Sum[1/x^x,{x,1,Infinity}],500]

Integrate formula have better convergence than Sum

Best wishes
Artur

Jack Kennedy pisze:
> 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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