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Math Help - Partial Fractional Decomp. Help

  1. #1
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    Partial Fractional Decomp. Help

    I've been working with decomp. for:

    [(ln(x))^(-s)]/(x(x-1))

    And I get:

    [(ln(1))^(-s)]/(x-1) - [(ln(0))^(-s)]/x

    I know ln(1) is zero and that ln(0) is negative infinity (or complex depending on who you are), but is this still a correct solution?
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  2. #2
    MHF Contributor
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    Quote Originally Posted by rman144 View Post
    I've been working with decomp. for:

    [(ln(x))^(-s)]/(x(x-1))

    And I get:

    [(ln(1))^(-s)]/(x-1) - [(ln(0))^(-s)]/x

    I know ln(1) is zero and that ln(0) is negative infinity (or complex depending on who you are), but is this still a correct solution?
    Hi

    [(ln(x))^(-s)]/(x(x-1)) = [(ln(x))^(-s)]/(x-1) - [(ln(x))^(-s)]/x
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