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Math Help - Laurent Series

  1. #1
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    Laurent Series

    I need help finding two different Laurent series:

    z^2/((z^2)-1) centered at 1 and z/(sinz)^2 centered at 0
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  2. #2
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    Here is the first one.
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  3. #3
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    Awesome, thanks. On the second one, I converted the (sinz)^2 into (1-cos2z)/2 then expanded it into it's power series, but I'm stuck on what to do next. I've done Laurent expansions with a trig or exponential function in the numerator and a power of z in the denominator where all you have to do is divide the power of z out, but how do I handle a trig function in the denominator?
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  4. #4
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    Complex Analysis is not my thing. I am note sure about the second one.
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