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Math Help - find the power series representation

  1. #1
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    find the power series representation

    need help to find the power series representation, and determine interval of convergence

    heres the equation:

    f(x) = 1/(1+x)

    trouble with these. please help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    need help to find the power series representation, and determine interval of convergence

    heres the equation:

    f(x) = 1/(1+x)

    trouble with these. please help.
    f(x) = 1/(1-x) is the geometric series.

    f(x) = 1+x+x^2+x^3+... for |x|<1

    Substitute -x for x (by handwaving),

    f(-x) = 1/(1+x) = 1-x + x^2 - x^3 + x^4 - ... for |-x|=|x|<1
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