9. Let f be bounded on a nondegenerate interval [a, b]. Prove that f is integrable on

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9. Let f be bounded on a nondegenerate interval [a, b]. Prove that f is integrable on [a, b] if and only if given c > 0 there is a partition Pe of [a, b] such that P 2 Pe implies 1U

(f, P) - L

(f, P)I < c.

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