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Limit with restrictions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg34269] Limit with restrictions
  • From: hannes.egli at uni-greifswald.de (Hannes Egli)
  • Date: Mon, 13 May 2002 05:54:11 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear list

Is there a possibility to combine the command Limit with parameter
restrictions?

A simple example reads:

p= m^(-1 + a + b + n)*(a/(a + b + n))^a*((b + n)/(a + b + n))^(b +
n)*(a + b + n)

The following restrictions are given:

restrictions = {a > 0, b > 0, n > 0, a + b + n < 1}

Since Limit does not allow restrictions, I tried to combine Limit with
Simplify, since in other examples (e.g. determination of an equation's
sign) this has worked very well:

Simplify[Limit[p, m -> Infinity],restrictions]

Unfortunately, it did not work.

Thanks for your help

Hannes Egli


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