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Re: Tough Limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg34259] Re: Tough Limit
  • From: Janusz Kawczak <jkawczak at math.uncc.edu>
  • Date: Sun, 12 May 2002 03:26:06 -0400 (EDT)
  • Organization: RoadRunner - Carolina
  • References: <abije9$ld7$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Use Stirling's series expansion for factorials.
Janusz.

RJMilazzo wrote:

> Can anyone suggest how I can use Mathematica to get the following limit:
>
> limit ( Binomial [-1/2  ,n ] * Sqrt[ n* Pi ] ) as n-> Infinity
>
> I have tried both Calculus`Limit` and the standard Limit functions. I can
> verify with NLimit that this limit equals  approximately 1. I don't think that
> this is rigorous enough for a proof.
>
> Thanks
> James
> rjmilazzo at aol.com


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