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Infinite series problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg35917] Infinite series problem
  • From: Seung Soon Jang <jsshys at wag.caltech.edu>
  • Date: Thu, 8 Aug 2002 06:06:07 -0400 (EDT)
  • Organization: Caltech Institute of Tehcnology
  • Reply-to: jsshys at wag.caltech.edu
  • Sender: owner-wri-mathgroup at wolfram.com

Hi, Group,

I am just beginner to start using Mathematica to solve my problem.
MY goal is to get some asymptotic value of the following series. But it
doesn't give the answer and
I have no clue how to resolve the error message I met.

Please give me the idea to go through this hard thing.

Thanks,

Seung Soon

In[9]:=
Sum[1/(2^(0.5)*(Pi*k)^2*

NIntegrate[(x/2)^(-0.5)*(1-(x/2))^(-0.5)*Cos[Pi*k*x],{x,0,1}]),{k,1,
    Infinity}]

NIntegrate::inum: Integrand 2.3094 Cos[1.5708 k] is not numerical at {x}
= \
{0.5}.

NIntegrate::inum: Integrand 2.3094 Cos[1.5708 k] is not numerical at {x}
= \
{0.5}.

NIntegrate::inum: Integrand 2.3094 Cos[1.5708 k] is not numerical at {x}
= \
{0.5}.

General::stop: Further output of NIntegrate::inum will be suppressed
during \
this calculation.


--
----------------------------------------------------------

Seung Soon Jang, Ph.D.
California Institute of Technology
Chemistry 139-74
Pasadena, CA 91125
TEL) 1-626-395-8147
FAX) 1-626-585-0917
e-mail) jsshys at wag.caltech.edu
home page) http://www.wag.caltech.edu/home/jsshys

----------------------------------------------------------




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