Re: Tough Limit
- To: mathgroup at smc.vnet.net
- Subject: [mg92668] Re: Tough Limit
- From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
- Date: Fri, 10 Oct 2008 04:33:12 -0400 (EDT)
- Organization: The Open University, Milton Keynes, UK
- References: <gckmsj$nh8$1@smc.vnet.net>
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) ? Perhaps by telling Mathematica that omega is real... since Mathematica works over the field of complex numbers, by default. In[9]:= Assuming[s > 0 && Im[\[Omega]] == 0, Limit[Integrate[Sin[\[Omega]*t]*Exp[-s*t], {t, 0, x}], x -> \[Infinity]]] Out[9]= \[Omega]/(s^2 + \[Omega]^2) Regards, -- Jean-Marc