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Homework Help: Can you make sure I'm doing this right?

  1. Dec 12, 2011 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    If |z|>1, the series ∑z-n converges to 1/(z-1)

    If |z|<1, the series ∑zn converges to 1/(1-z)

    3. The attempt at a solution


    ????? Am I getting there?
  2. jcsd
  3. Dec 12, 2011 #2
    I don't think that equation is right... Shouldn't it be for |z|>1,
    [tex] \sum_{n=0}^\infty \frac{1}{z^n} = \frac{1}{1-\frac{1}{z}} = \frac{z}{z-1} \; \; ?

    Or am I missing something?
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