Question: Let (f) be a sequence of continuous func- tions defined on [0,1] and f be a function defined on [0, 1]. Suppose that limn

Let (f) be a sequence of continuous func- tions defined on [0,1]

Let (f) be a sequence of continuous func- tions defined on [0,1] and f be a function defined on [0, 1]. Suppose that limn fn(x) = f(x), Vx = [0, 1]. Prove there is at least one point (0,1) such that f is continuous at .

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