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Uniform Convergence of a Sequence

Let (f_n) be a sequence of continuous functions on R--->R^q which converges at each point of the set Q of rational numbers. If the set {f_n} is uniformly equicontinuous on R, show that the sequence converges at every point of R and that the convergence is uniform on every compact set of R.

keywords: equi-continuous

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Uniform Convergence of a Sequence is investigated.

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