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Math Help - Taylor/Laurent series

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    Taylor/Laurent series

    How would I find the Talyor or Laurent series around the parameter c of the function:

    R(z)=\frac{z-c}{z^2}

    Any help would be great.
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  2. #2
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    Quote Originally Posted by saywhat View Post
    How would I find the Talyor or Laurent series around the parameter c of the function:
    R(z)=\frac{z-c}{z^2}
    Any help would be great.
    Let w = z c. Then \frac{z-c}{z^2} = \frac w{(c+w)^2} = \frac w{c^2}\Bigl(1+\frac wc\Bigr)^{-2}, which you can expand as a binomial series in powers of w/c = (z-c)/c.
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