Residue Theorem/Laurent Series Question...

Wildbeast1628

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Joined
Aug 10, 2005
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Hi,

New to the site...just wondered if any one could help me on a question regarding Residue Theorem/Laurent Series.

I'm trying to solve an integral:

{integral C) (e^z + 6z)/(z^3 + z^2 - 2z) dz

where C = {z: |z - 0.5| = 1}

So: I have factorised the denominator to give:

(e^z + 6z)/(z (z-1) (z+2)) and now I get stuck trying to form the Laurent Series of the function...in order to get the Residue.

Any help would be much appreciated...

Cheers

Nick
 
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