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Homework Help: Singularities of a Complex Function

  1. Nov 22, 2014 #1
    1. The problem statement, all variables and given/known data

    What are the region of validity of the following?

    1/[z2(z3+2)] = 1/z3 - 1/(6z) +4/z10

    2. Relevant equations

    3. The attempt at a solution

    Knowing that this is the expansion around z=0, I am trying to find the singularities of the complex function.

    Which is when z2(z3+2) = 0

    I have z = 0, then (z3+2) = 0

    (z3+2) = 0

    z3 = -2 = r3ei3θ

    In order to find r, would I take the absolute value of z3?

    r = |z3| = |-2| = sqrt[(-2)2] = 2?
  2. jcsd
  3. Nov 22, 2014 #2


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  4. Nov 23, 2014 #3


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    I don't think that's what you meant. Try again.
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