a. Is it possible for a continuous function f on [0,1] to have Lf(P) = 4 and Uf(P) = 3 for some partition P of [0,1]? Explain. b. Let f(0) = 0 and f(x) = 1/x2 for x in (0,1]. Let P be a partition of [0,1]. Would you encounter any difficulty in assigning a number to Lf(P)? How about Uf(P)? Explain.

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