Laurent series / residual theorem

  • Thread starter ex3e
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  • #1
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Homework Statement



http://img243.imageshack.us/img243/4339/69855059.jpg [Broken]

Homework Equations


i've heard that the solution requires the use of the exponential taylor series:
http://img31.imageshack.us/img31/6163/37267605.jpg [Broken]

The Attempt at a Solution



i know that the first step is to convert cos(1/z) into it's complex number form which is:
cos(1/z) = 0.5 (e^(i/z) + e^(-i/z))
I've tried manipulating 1/z and z^5 into the exp.taylor series but it gets messy (might be doing it wrong). any ideas would be great!
 
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Answers and Replies

  • #2
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I would say you don't have to convert the cosine to exponential form if you already know the Maclauren series of cosine.
 

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