1. (a) (2 marks) Find the Taylor series of ln(x) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: d k/ dx^k (ln x) = (1)k1 (k 1)!/ x ^k (k 1) (b) (3 marks) Find the interval of convergence of the Taylor series of ln(x) about x = a. Your work should clearly justify your answer.