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Re: Tough Limit


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



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