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Re: Formula Stirlinga

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


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