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Residue of a series.

  1. Apr 23, 2017 #1
    1. The problem statement, all variables and given/known data
    Use a laurent series to find the indicated residue
    [itex] f(z)=e^{\frac{-2}{z^2}} [/itex]
    2. Relevant equations


    3. The attempt at a solution
    So I expand the series as
    follows [itex] 1-\frac{2}{z^2}+\frac{2}{z^4} ...[/itex]
    my book says the residue is 0 , is this because there is no residue term ?
    the [itex] a_{-1} [/itex] term
     
    Last edited: Apr 23, 2017
  2. jcsd
  3. Apr 23, 2017 #2

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  4. Apr 23, 2017 #3
    ok just wanted to make sure
     
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