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Test for Pole Procedure

  1. Sep 4, 2009 #1
    1. The problem statement, all variables and given/known data

    Test for pole procedure.
    As attached powerpoint.
    Pse advise.

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Sep 4, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Basically, what you have is right- although you should "suspect" that the pole at z= 7 is of order 3, not 7. I suspect that was a typo! A function, f(z) has "a pole of order n at z= z0" if and only if (z- z0)nf(z) has a non-zero limit as z goes to z0 and that is exactly what you have shown.
     
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