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Math Help - power series, determine radius of convergence.

  1. #1
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    power series, determine radius of convergence.

    find a power series representation, and determine the radious of convergence.

    function:

    ln(5-x)


    thankyou for any help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    find a power series representation, and determine the radious of convergence.

    function:

    ln(5-x)


    thankyou for any help.
    Note that,

    1+y+y^2+... = 1/(1-y) for |y|<1

    If y=x-4 with |x-4|<1 then,

    1+(x-4)^2+(x-4)^2+... = 1/(5-x)

    Integrate term by term to get the series for ln |5-x|
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  3. #3
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    thanks for the help.
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