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(1) Determine whether each of the following statements is true or false. If it is true, provide justification. If it is false, provide a counterexample.

(1) Determine whether each of the following statements is true or false. If it is true, provide justification. If it is false, provide a counterexample. (a) If lim f(x) = 0, then - f (x) dx is finite for some real number a. a (b) If f(x)

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