Question

find the radius of convergence of the taylor series around x =0 for ln(1-x)

Answer 1

do you know the maclaurin series for \(\ln (1-x)\) ?

Answer 2

no

Answer 3

if you know the derivative of ln(1-x), you can do some long division and integrate the polynomial it produces into the taylor series. Then convergence methods can be worked out in that .... just a thought