9. Suppose that f : [0,1]----; Rand f (a) = limx-->a f(x) for all a E [0,1].

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9. Suppose that f : [0,1]----; Rand f

(a) = limx-->a f(x) for all a E [0,1]. Prove that that f(q) = 0 for all q E Q n [0,1] if and only if f(x) = 0 for all x E [0,1].

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