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Question: problem 5 let fn a b r be...

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PROBLEM # 5 Let fn : [a, b R be a sequence of (not necessarily continuous) functions such that there exists a function f : la,b] R with the following property: For each sequence Zn є [a, bl with Zm z one has fn (%) f(x). Prove that f is continuous (even if fn are not) and also that fn -> f uniformly.

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