5.1.3. Let f: [a, b] - [a, b] such that R be a bounded function. Suppose there exists a sequence of partitions {Px} of lim (U(Pk.f) - L(Pr, f)) = 0 Show that f is Riemann integrable and that f = lim U(PR, f) = limL(Pk, f). k→∞ a

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