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Another limit problem

• To: mathgroup at smc.vnet.net
• Subject: [mg67711] Another limit problem
• From: Virgil Stokes <vs at it.uu.se>
• Date: Wed, 5 Jul 2006 04:18:13 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

I am trying to evaluate the limit of the following expression as s goes 
to infinity,

\!\(\((1 + â??\+\(k = 0\)\%\(s - 1\)\((\((s\ Ï?)\)\^k\/\(k!\))\)/\((\((s\ \
Ï?)\)\^s\/\(\(s!\) \((1 - Ï?)\)\))\))\)\^\(-1\)\)

where, Ï? (Real) < 1, s (Integer) > 0. I am quite sure that the limit is 
0; but, I am unable to get this result using Mathematica 5.2.
Any suggestions would be appreciated.

--V. Stokes

• Follow-Ups:
  • Re: Another limit problem
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>