The problem is to find the radius and interval of convergence of the series...
((-1)^(k+1)*(x+1)^k)/k from k=1 to infinity.
I have attempted using the ratio test for absolute convergence and have simplified it down to
I know it will converge absolutely if rho is less than 1 so i got |(x+1)|<1
So is the radius of convergence is 1 and the interval of convergence -2<x<0?