Problem

Let f be a continuous function and let Pn, for n = 0, 1, . . . , be partitions of [a, b]...

Let f be a continuous function and let P_n, for n = 0, 1, . . . , be partitions of [a, b] such that the width of the largest subinterval in P_n converges to zero as n → ∞. Show that T ( f ; P_n) converges to

Hint: Use the preceding exercise and known facts about upper and lower sums.

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Solutions For Problems in Chapter 5.2

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