Chapter 9.2, Problem 68E

A useful substitution Replace x with x − 1 in the series $\ln (1+x)={\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{{(-1)}^{k+1}{x}^k}{k}}$ to obtain a power series for ln x centered at x = 1. What is the interval of convergence for the new power series?