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Math Help - What happened to the x? f(x) to power series

  1. #1
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    What happened to the x? f(x) to power series

    Find a power series for the function:

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

    so the solution shows:

    f(x) = -1 + 2/1-x >>>>>>what happened to the +x in the numerator at this point?

    -1+ 2 series sign x^n
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  2. #2
    MHF Contributor Unknown008's Avatar
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    When you do long division, the x gets divided by x somewhere, and x/x = 1

    (1+x) / (1-x) gives -1, and a remainder of 2, hence,

    \dfrac{1+x}{1-x} = -1 + \dfrac{2}{1-x}
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