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(1] Suppose that. h is a. continuous function on [0, 2] such that M3] is an irra tional number for every :t E [0, 2].

(1] Suppose that. h is a. continuous function on [0, 2] such that M3] is an irra tional number for every :t E [0, 2]. (a) What. can be said about h? (b) Can you prove that h is necessm'ily differentiable? If so, what can you say about If

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