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    Power series centered at 0

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    Use the power series
    1 / 1+x = En=0 (-1)^n x^n

    to determine the power series, centered at 0, for the function

    h(x) = x / x^2-1 = 1 / 2(1+x) - 1 / 2(1-x)

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    Solution Summary

    A power series is determined. The functions centered at zero are found.