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Re: NSum in Mathematica 6: Success at difficult. Failure at simple.

by Vladimir Bondarenko <vb@[EMAIL PROTECTED] > Mar 25, 2008 at 12:09 AM

On Mar 24, 9:28=A0pm, Vladimir Bondarenko <v...@[EMAIL PROTECTED]
> wrote:
> NSum[(Cos[n]/n)^1, {n, 1, Infinity}] =A0 =A0 slow convergence
> NSum[(Cos[n]/n)^2, {n, 1, Infinity}] =A0 =A0 fast convergence
>
> 0.0420195 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0RIGHT
> 0.572578 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 WRONG
>
> Any comments?

(Well, one  could say that, intuitively, it's not quite
clear which of them converges faster... the first series
resembles an alternating one... but the second one, with
strictly positive terms, decays at infinity as ?/n^2 ...
(I hope "?" is not O(n) :))
 




 7 Posts in Topic:
NSum in Mathematica 6: Success at difficult. Failure at simple.
Vladimir Bondarenko <v  2008-03-24 21:28:46 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
Vladimir Bondarenko <v  2008-03-25 00:09:49 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
SzH <szhorvat@[EMAIL P  2008-03-25 00:55:25 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
Vladimir Bondarenko <v  2008-03-25 03:12:19 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
hrubin@[EMAIL PROTECTED]   2008-03-25 12:29:54 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
hrubin@[EMAIL PROTECTED]   2008-03-25 12:11:45 
Re: NSum in Mathematica 6: Success at difficult. Failure at simp
SzH <szhorvat@[EMAIL P  2008-03-25 11:13:15 

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