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    Real Analysis : Subsequences and Convergence

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    Let fn(x) = cos(nx) on R. Prove that there is no subsequence fnk converging uniformly in R.

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    The functions are on R. It is ...

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    Convergence of a subsequence is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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