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Education > Math Recreational > Re: NSum in Mat...
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Re: NSum in Mathematica 6: Success at difficult. Failure at simple.

by SzH <szhorvat@[EMAIL PROTECTED] > Mar 25, 2008 at 12:55 AM

On Mar 25, 5:28 am, Vladimir Bondarenko <v...@[EMAIL PROTECTED]
> wrote:
> NSum[(Cos[n]/n)^1, {n, 1, Infinity}]     slow convergence
> NSum[(Cos[n]/n)^2, {n, 1, Infinity}]     fast convergence
>
> 0.0420195                      RIGHT
> 0.572578                       WRONG
>
> Any comments?

Interestingly, the setting Method -> "EulerMaclaurin" gives a much
more precise answer (0.574138), however, no explicit setting for
Method can reproduce the answer that we get with Method -> Automatic.
 




 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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tan12V112 Sat Oct 11 10:48:54 CDT 2008.