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

• To: mathgroup at smc.vnet.net
• Subject: [mg43956] What is the limit of x Gamma[n,x] for x->Infinity?
• From: xavier.brusset at free.fr (Xavier)
• Date: Wed, 15 Oct 2003 04:59:34 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

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.

Any help is welcome!!!
Thanks
Xavier

• Follow-Ups:
  • Re: What is the limit of x Gamma[n,x] for x->Infinity?
    • From: Vladimir Bondarenko <vvb@mail.strace.net>