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Let a b Let f be a bounded function on a b Let P P2...

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Calculus

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Let a b Let f be a bounded function on a b Let P P2 P3 be a sequence of partitions of a b such that lim P 0 n On each subinterval of each partition we pick x i 1 to be a point on the subinterval Which of the following must be true Select all answers that are correct There exists a partition P of a b such that lim Lp f Lp f n 0 n IF limf x Axi exists THEN f is integrable on a b i 1 Olim Lp f I f n n IF f is integrable on a b THEN limf x Axi exists i 1 n 00

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