I have to find the series expansion and interval of convergence for the function $\ln(1 - x)$.
For the expansion, I have gone through the process and obtained the series:
$-x - (x^2/2) - (x^3/3) - . . . - (-1)^k((-x)^k)/k$
I know that the interval of convergence will be $(-1,1)$, but am having trouble with the ratio test component to achieve this result. i.e. I am having trouble breaking down/simplifying the equation.
Thanks very much