# Thread: find a power series representation for the function

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

f(x) = ln(5-x) without using maclaurin series

2. Originally Posted by twilightstr
f(x) = ln(5-x) without using maclaurin series
for small $x\ge 0$:

$
f(x)=- \int_0^x \frac{1}{5-\xi} d\xi
$

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

CB

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