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Re: Formula Stirlinga

  • To: mathgroup at smc.vnet.net
  • Subject: [mg130694] Re: Formula Stirlinga
  • From: "Louis Talman" <talmanl at gmail.com>
  • Date: Fri, 3 May 2013 03:51:09 -0400 (EDT)
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  • References: <20130502014311.555F56A80@smc.vnet.net>

On Wed, 01 May 2013 19:43:11 -0600, <karchevskymi at gmail.com> wrote:

> N[n! - Sqrt[2*Pi*n]*(n/Exp[1])^n]

Why do you think that this is evidence that Stirling's formula doesn't  
work correctly?

What we know is that the *ratio* of n! to Sqrt[2*Pi*n]*(n/Exp[1])^n]  
approaches unity when n grows without bound. The ratio when n = 1000 works  
out to about 1.00008.

--Lou Talman
   Department of Mathematical & Computer Sciences
   Metropolitan State University of Denver

   <http://rowdy.msudenver.edu/~talmanl>



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