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5. (a) Give an example of an unbounded sequence that has a convergent subsequence. (b) Does your example in part (a) violates the Bolzano-Weierstrass theorem.

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5. (a) Give an example of an unbounded sequence that has a convergent subsequence. (b) Does your example in part (a) violates the Bolzano-Weierstrass theorem. Explain

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