Question 2 (9 marks) Let (fn), fn : [a, b] - R be a sequence of functions. Assume that fn converges uniformly to a function f : [a, b] -> R, and that each function fn is Riemann integrable. (a) Let P = {a = x0 0, there exists M E N such that, when n > M Imx - MK/ KE and I MK - MPIKE (4 marks)(b) Now show: for all e > 0, there exists M E N such that, for all n > M JU(f, P) - U(fn, P) |