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MathGroup Archive 2006

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Re: Limit of an expression?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67511] Re: Limit of an expression?
  • From: Roger Bagula <rlbagula at sbcglobal.net>
  • Date: Thu, 29 Jun 2006 00:09:21 -0400 (EDT)
  • References: <e7td7i$3lg$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

If k=μ ((s - 1 - λ/μ))) is negative( k<0) the limit is Infinity else
Exp[-k*t] if k>=0 is zero in the t limit.
\!\(Limit[\(1 - \[ExponentialE]\^\(\(-μ\)\ t\ \((s - 1 - 
λ\/μ)\)\)\)\/\(s - 1 \
- λ\/μ\), t -> Infinity]\)=>(1/(s - 1 - λ/μ))
Virgil Stokes wrote:

>In the following expression, s is an integer (>= 1), Lambda, Mu, and t 
>are real numbers and all > 0.
>What is the limit of the following as t goes to infinity?
>
>\!\(\(1 - \[ExponentialE]\^\(\(-\[Mu]\)\ t\ \((s - 1 - \
>\[Lambda]\/\[Mu])\)\)\)\/\(s - 1 - \[Lambda]\/\[Mu]\)\)
>
>--V. Stokes
>
>  
>


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