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  3. 142 prove the following proposition 145 let xnnm be a...

Question: 142 prove the following proposition 145 let xnnm be a...

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1.4.2 Prove the Following Proposition 1.4.5. Let (X(n)n=m be a sequence of points in a metric space (X, d), and let L X. Then the following are equivalent: L is a limit point of (rm)). There erists a subsequence (rln) (X(n))n=m which converges to L. of the original sequence

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