Question: Problem 3(*): a Let f : {i > TR be a. continuous function. Assume that f0) : 0 for all rational numbers 1'. Prove that

Problem 3(*): a Let f : {i > TR be a. continuous function. Assume that f0") : 0 for all rational numbers 1'. Prove that 1(a) : D for all real numbers :1:. 0 Let f: g : {(1 > R be two continuous functions. Assume that r) : 9(1') for all rational numbers 1\". Prove that ne) : g(:1:) for all real numbers 1

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