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Poles within a circle

  1. Nov 7, 2005 #1
    I need to use residue calculus to evaluate:
    [tex]\oint_C {\frac{{e^z }}{{\cosh z}}} dz[/tex]
    where C is the circle |z|=5
    My only problem (which is a stupid one) is working out how many poles the function has inside the circle. I know its going to have them at pi*i/2 + pi*i*k. This is probably a really stupid question, but I've left alot of this course till the last minute. :(
  2. jcsd
  3. Nov 7, 2005 #2
    Worked it out. I'm an idiot for overlooking something so simple.
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