Question: Suppose f: [a, b] -> R is a bounded function. For n ( Z , let P, denote the partition that divides [a, b) into

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, Pm, [a, b]) and U(f, [a, b]) = lim U(f, Pn, [a, b])

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