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Taylor Series Expansion About the Point i

  1. Jun 23, 2010 #1
    Taylor Series Expansion About the Point "i"

    1. The problem statement, all variables and given/known data

    Calculate the radius of convergence of the Taylor series for

    [tex]\frac{1}{z^2-2z+2}[/tex]

    about the point i.

    3. The attempt at a solution

    I can find the radius of convergence if I can determine the expansion but I can't seem to spot the pattern...

    Any help will be appreciated (please see attached).
     

    Attached Files:

  2. jcsd
  3. Jun 23, 2010 #2

    lanedance

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    Homework Helper

    Re: Taylor Series Expansion About the Point "i"

    how about consdering where the poles of the function are...
     
  4. Jun 23, 2010 #3
    Re: Taylor Series Expansion About the Point "i"

    We haven't actually covered that yet, but I'll have a look thanks!
     
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