Suppose f is a continuous function on [0, ox) and that | f(t)dt converges to some positive real number I. Define a function G(x) with domain (0, 0) by G(x): =| f(t)dt for every a > 0. Which of the following statements must be true? (Select all true statements.) d G(x) is differentiable on (0, o0) with G(x) = f(x) for all æ > 0. dx | f(t)dt is positive for all æ E (0, 0). There exists NER with the property that G(x) > 0 for all > N. G(x) < I for all æ E (0, 00). None of the above. O OC

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