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Math Help - Taylor expansion

  1. #1
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    Taylor expansion

    Obtain the following Taylor expansions. Give a general formula for the nth coefficient, and state the circle within which your expansion is valid.
    expanded about z=0
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  2. #2
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    Quote Originally Posted by lacy1104 View Post
    Obtain the following Taylor expansions. Give a general formula for the nth coefficient, and state the circle within which your expansion is valid.
    expanded about z=0
    Break the fraction down into parts using decomposition: f(x) = -1/(z+1) - 2/(z+2) then expand each seperatly. using -1/(1 + z) as your ratio you should notice the a1 term is -1 and the ratio is -z. thus the first one is SUM (a1)(-x)^n. Then repeat with the process with the second fraction.
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