Q5. (9 marks) For the following series, find the radius of convergence R and the interval of convergence I. (a) E (3.x - 2)" n3n n=1 (b) n=2 n! (In n)2" (c) > n":". n=1 DO Q6. (8 marks) In the following exercises, given that r" with convergence in (-1, 1), 1-I n=0 find the power series for each function and identify its interval of convergence. 7r - 1 (a) f (x) = 3x2 + 2x - 1 Hint for (a): present the rational function in terms of partial functions. (b) f (x) = In (1+x) Hint for (b): use term-by-term differentiation or integration to find power series for this function