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)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net*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>

**References**:**Formula Stirlinga***From:*karchevskymi@gmail.com