Re: Tough Limit
- To: mathgroup at smc.vnet.net
- Subject: [mg92665] Re: [mg92644] Tough Limit
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Fri, 10 Oct 2008 04:32:39 -0400 (EDT)
- Reply-to: hanlonr at cox.net
Also
Assuming[{s > 0, Element[w, Reals]},
Limit[Integrate[Sin[w*t]*Exp[-s*t], {t, 0, x}],
x -> Infinity]]
w/(s^2 + w^2)
Bob Hanlon
---- Bob Hanlon <hanlonr at cox.net> wrote:
=============
Integrate[Sin[w*t]*Exp[-s*t], {t, 0, Infinity},
Assumptions -> {s > 0, Element[w, Reals]}]
w/(s^2 + w^2)
Bob Hanlon
---- carlos 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) ?
--
Bob Hanlon
--
Bob Hanlon