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MathGroup Archive 2006

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Re: compute limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70573] Re: compute limit
  • From: "ben" <benjamin.friedrich at gmail.com>
  • Date: Fri, 20 Oct 2006 05:21:35 -0400 (EDT)
  • References: <eh79cr$dpb$1@smc.vnet.net>

Dear Frank,

you have to tell Mathematica sth about your
variables, i.e. which is real, positive, ...;
otherwise Mathematica assumes them to be complex.
But for arbitrary complex numbers a closed solution
need not exist.

Try this

Limit[((1 + r)^t*(1 - s) + s)^(1/t) - 1, t -> \[Infinity],
  Assumptions -> {r > 0, s > 0, s < 1}]

Bye
Ben

Frank Hechtner schrieb:

> Hi,
>
> i?m in trouble with the calculation of limits. my expression is the
> following
>
> ((1 + r)^t*(1 - s) + s)^(1/t) - 1, t -> ?
>
> as you see, the limit is r when x approaches ?.
>
> Unfortunately when using limit the output is
>
> Limit[((1 + r)^t*(1 - s) + s)^(1/t) - 1, t -> ?].
>
> I dont see whats going wrong. Does limit only compute numerical expression?
> 
> Thanks for your help
> 
> Frank


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