Suppose f: [a, b] R is a bounded function. For n Z+, let P, denote the partition that divides [a, b] into 2" intervals of equal size. Prove that L(f, [a, b]) lim L(f, Pn, [a, b]) and U(f, [a, b]) = lim U(f, Pn, [a,b]). = 11-00 11-00