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Re: A bug?......In[1]:= Sum[Cos[x], {x, 0, Infinity, Pi}]......Out[1]= 1/2

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41619] Re: A bug?......In[1]:= Sum[Cos[x], {x, 0, Infinity, Pi}]......Out[1]= 1/2
  • From: bobhanlon at aol.com (Bob Hanlon)
  • Date: Thu, 29 May 2003 08:13:44 -0400 (EDT)
  • References: <bb1ua4$9do$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

If it is written as

Sum[Cos[x*Pi], {x, 0, Infinity}]

Mathematica concludes that the sum does not converge.


Bob Hanlon

In article <bb1ua4$9do$1 at smc.vnet.net>, nanoburst at yahoo.com (Mark) wrote:

<< Subject:	A bug?......In[1]:= Sum[Cos[x], {x, 0, Infinity,
Pi}]......Out[1]= 1/2
From:		nanoburst at yahoo.com (Mark)
To: mathgroup at smc.vnet.net
Date:		Wed, 28 May 2003 09:08:20 +0000 (UTC)

I think that the sum does not converge.  Does
the following (from Mathematica for Students,
v. 4.0.1) reveal a bug?  If so, do you have
any insight into this bug?


   In[1]:= Sum[Cos[x], {x, 0, Infinity, Pi}]

   Out[1]= 1/2
 >><BR><BR>


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