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Math Help - find a power series representation for the function

  1. #1
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    find a power series representation for the function

    f(x) = ln(5-x) without using maclaurin series
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by twilightstr View Post
    f(x) = ln(5-x) without using maclaurin series
    for small  x\ge 0:

     <br />
f(x)=- \int_0^x \frac{1}{5-\xi} d\xi<br />

    Now use the binomial expansion for the integrand and integrate term by term.

    CB
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  3. #3
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    i got ln5 - (1/5) sigma from n= 1 to infinity of (x/5)^n/(n) is this right?
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