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Math Help - sum of power series problem

  1. #1
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    sum of power series problem

    Express the function as the sum of a power series by first using partial fractions, find the interval of convergence.

    f(x) = 3/(x^2 +x - 2)

    thanks for any help with this one.

    ..partial fraction would be: 3/(x-1) + 3/(x+2)
    i think.

    need help please.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rcmango View Post
    Express the function as the sum of a power series by first using partial fractions, find the interval of convergence.

    f(x) = 3/(x^2 +x - 2)

    thanks for any help with this one.

    ..partial fraction would be: 3/(x-1) + 3/(x+2)
    i think.

    need help please.
    your partial fractions are wrong. find the correct ones, then use the fact that

    1/(1 - x) = SUM x^n

    Hint:
    The partial fractions are 1/(x - 1) - 1/(x + 2)

    1/(x - 1) = -1/(1 - x)

    1/(x + 2) = 1/[2(1 + x/2)] = (1/2)*1/(1 + x/2) = (1/2)*1/(1 - (-x/2))
    Last edited by Jhevon; April 17th 2007 at 09:54 PM.
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