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Math · Advanced Math
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35. For a and ß positive numbers, define the function f on [0, 1] by rsin(1/x) forO<x< 1 for x 0 Show that if a > B, then f is of bounded variation on [0, 1], by showing that f is integrable over [0, 1]. Then show that if α β, then f is not of bounded variation on [0, 1].

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