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Math · Advanced Math
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Problem 2. Let f : (0, 0o) -R be given by f(x)-sina (a) Show that f is integrable (with respect to the Lebesgue measure) on (0, oo) (b) Show that 0o 0 n- Use DCT (check Hint: Use a geometric series torewrite the conditions carefully). Use sin(x) - Im (et) and the (simple) fact that the fundamental theorem of calculus also holds for continuously differentiable functions with values in C 1-e-a

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