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Geometric series

  1. Mar 5, 2005 #1
    how can I write f(z)= 1/(c(1+z)) as a geometric series with radius of convergence 1, where c is a complex number?
     
  2. jcsd
  3. Mar 5, 2005 #2

    mathwonk

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    this is the one series most people know.

    hint: 1/(1-z) = 1 + z + z^2 + z^3+......


    if you learn this, you are a master of infinites eries. i.e. there is nothing else to know.
     
  4. Mar 6, 2005 #3
    thanks i see it now
     
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