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MathGroup Archive 2003

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Re: What is the limit of x Gamma[n,x] for x->Infinity?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43992] Re: What is the limit of x Gamma[n,x] for x->Infinity?
  • From: Bill Rowe <readnewscix at mail.earthlink.net>
  • Date: Thu, 16 Oct 2003 04:17:13 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 10/15/03 at 4:59 AM, xavier.brusset at free.fr (Xavier) wrote:

> If Gamma[n,x] is the incomplete Gamma function, what is the limit of
> that function times x when x tends to infinity?

> At first blush this limit is indefinite since Gamma[n,x] ->0 when
> x->Infinity.

Huh??? If Gamma[n,x]->0 when x->Infinity then by definition,

Limit[Gamma[n,x], x->Infinity] is 0. And sure enough, that is exactly what Mathematica returns
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