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Simple residue question

  1. May 15, 2010 #1
    Hi guys,

    I'm doing some Laplace transforms
    Apologies for not typing this out very well I don't know LaTex...
    where (1/p)((sinh(p^1/2)(1-x))/(sinh(p^1/2)))

    I need to work out the residue at p=0...

    It's been a while since I did this but you multiply through by p and then take the limit as p->0

    I can't seem to work the last bit out as the bottom of the fraction becomes zero.

    I'm guessing the residue is probably (1-x) but I don't know how to get there.

    Thanks in advance.
     
  2. jcsd
  3. May 15, 2010 #2

    vela

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    Don't the hyperbolic sines just cancel?
     
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