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Re: Tough Limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg92685] Re: Tough Limit
  • From: psycho_dad <s.nesseris at gmail.com>
  • Date: Fri, 10 Oct 2008 04:36:17 -0400 (EDT)
  • References: <gckmsj$nh8$1@smc.vnet.net>

Just add some Assumptions for \[Omega] and s to the Limit function:

Limit[Integrate[Sin[\[Omega]*t]*Exp[-s*t], {t, 0, x}, Assumptions -> s
> 0], x -> \[Infinity], Assumptions -> \[Omega] > 0 && s > 0]

Cheers

On 9 =CF=EA=F4, 12:37, car... at colorado.edu wrote:
> How can I get
>
> Limit[Integrate[Sin[\[Omega]*t]*Exp[-s*t],{t,0,x},
>       Assumptions->s>0],x->\[Infinity]]
>
> to answer \[Omega]/(\[Omega]^2+s^2)  ?



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