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simplifying inside sum, Mathematica 5.1

• To: mathgroup at smc.vnet.net
• Subject: [mg53709] simplifying inside sum, Mathematica 5.1
• From: Richard Fateman <fateman at cs.berkeley.edu>
• Date: Mon, 24 Jan 2005 03:37:32 -0500 (EST)
• Organization: University of California, Berkeley
• Sender: owner-wri-mathgroup at wolfram.com

Sum[a[i]*x^i,{i,0,Infinity}]

%/. x->0


leaves 0^i  inside the sum, unsimplified.

So does the sum from 1 to Inf.

The correct answers are presumably a[0] and 0.

Is there a way to get Mathematica to do this?

RJF

• Follow-Ups:
  • Re: simplifying inside sum, Mathematica 5.1
    • From: DrBob <drbob@bigfoot.com>
  • Re: simplifying inside sum, Mathematica 5.1
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>