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Problem 6: For p > 0, consider the function sin x fp(ac) = x E (0, 0o ) . (i) Determine the range of p

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Problem 6: For p > 0, consider the function sin x fp(ac) = x E (0, 0o ) . (i) Determine the range of p for which OO (R) fp(x)dx o converges. (ii) Determine the range of p for which the Lebesgue integral o exists. (iii) Determine the range of p for which the function fp is Lebesgue integrable

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