Let f: [a, b] → R be a bounded function. Suppose there exists a partition Pn of [a, b] such that lim [U (f; Pn) - L (f; Pn)] = 0. 00+u (a) Show that f is integrable on [a, b]. (b) Conclude that the value of the integral of f on [a, b] is [ºs f = lim U (f; Pn) = lim L(f; Pn). 72-00 148

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