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Math Help - Taylor Series

  1. #1
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    Taylor Series

    The following exercises involve our generating a new Taylor series through a change of varables in the geometric series Eq. (5.2-8) or some other familar expansion. Here a is any constant. Explain how the following is derived:


    , |z|<1
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  2. #2
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    Quote Originally Posted by lacy1104 View Post
    The following exercises involve our generating a new Taylor series through a change of varables in the geometric series Eq. (5.2-8) or some other familar expansion. Here a is any constant. Explain how the following is derived:


    , |z|<1
    Well you have the geometric series:

    1+x+x^2+x^3+.. = \frac{1}{1-x}, \ \ \ |x|<1

    so you now change the variable twice, first put u=-x, then put z^2=u.

    RonL
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