Chapter 6.2, Problem 95E

In the following exercises, given that $\frac{1}{1-x}={\displaystyle \underset{n=0}{\overset{\infty }{\sum }}{x}^n}$ use term-by-term differentiation or integration to find power series for each function centered at the given point.

95. f(x) = In x centered at x = 1 (Hint x = 1 − (1 −x))