Re: Find limit of series using Mathematica 2.0
- To: mathgroup@smc.vnet.net
- Subject: [mg12458] Re: Find limit of series using Mathematica 2.0
- From: Paul Abbott <paul@physics.uwa.edu.au>
- Date: Tue, 19 May 1998 13:31:27 -0400
- Organization: University of Western Australia
- References: <6jevg4$3bc@smc.vnet.net>
Cheung Wai Yuen wrote:
> I am a user of Mathematica 2.0. I do not know how to find the limit of
> series like :
> 1+ 1/2 + 1/4 + 1/16 + ..... . Please tell me the commands in doing so.
Apart from the initial 1, I'll assume that the general term is
1/2^(2^n). Then you can try Sum (which fails to find a closed form) or
NSum:
In[1]:= 1 + NSum[1/2^2^n, {n, 0, Infinity}] Out[1]= 1.81642
You can, of course, compute this to arbitrary precision.
Cheers,
Paul
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Paul Abbott Phone: +61-8-9380-2734
Department of Physics Fax: +61-8-9380-1014
The University of Western Australia Nedlands WA 6907
mailto:paul@physics.uwa.edu.au AUSTRALIA
http://www.pd.uwa.edu.au/~paul
God IS a weakly left-handed dice player
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