1. (a) (2 marks) Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: dk dack (Inx) = (-1)k-1(k -1)! ack (k 2 1) (b) (3 marks) Find the interval of convergence of the Taylor series of In(x ) about x = a. Your work should clearly justify your