2. (20 points) Recall that for y E (0, too), In(y) := dt. Consider f(x) := In(1 + x), x > -1. Find the points x E (-1, too) such that f(x) admits a power series presentation centered around 0. You may use the following fact without proof. The following series OO (-1)k+1 k k=1 converges. 71 - 7