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Math Help - complex analysis question

  1. #1
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    complex analysis question

    Compute two distinct Taylor series expansions of the function
    g(z) = z-3/z-2, one cenetered at z0=0 and another centered at z0=3. Compute the radius of convergence for each series.

    Any help would be appreciated. I am quite stuck. Thank you in advance.
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  2. #2
    Senior Member Tinyboss's Avatar
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    The procedure should be demonstrated in your textbook. Where are you getting stuck?
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  3. #3
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    okay so i know that the expansion for 1/z-2 is -1/2 - z/4 - z^2/8 - z^3/16 + .... if you multiply (z-3) with that then you get 3/2 + z/4 + z^2/8 + z^3/16 + ... is that correct? and for z = 3 i do not really know how I would go about calculating the expansion? it isnt really in my book?
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