Mathematics, 12.02.2020 01:53, darkremnant14

Decide whether the following propositions are true or false, providing a short justification for each conclusion.

(a) If every proper subsequence of (xn) converges, then (xn) converges as well.
(b) If (xn) contains a divergent subsequence, then (xn) diverges.
(c) If (xn) is bounded and diverges, then there exist two subsequences of (xn) that converge to different limits.
(d) If (xn) is mo

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Decide whether the following propositions are true or false, providing a short justification for eac...