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