Let X N Be A Cauchy Sequence In A Metric Space X D Show That The Closure Of X 1 X 2 2251728

Let (x_n) be a Cauchy sequence in a metric space (X,d). Show that the closure of {x_1,x_2,…} in X is countable by showing that {x_1, x_2,…..} has at most one limit point.

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