Provide an example (and prove it works) or prove that no such example exists. a) A bounded monotone sequence that does not converge. b) A sequence that does not converge and has no convergent subsequences. c) A bounded sequence with an unbounded subsequence.
Provide an example (and prove it works) or prove that no such example exists.
a) A bounded monotone sequence that does not converge.
b) A sequence that does not converge and has no convergent subsequences.
c) A bounded sequence with an unbounded subsequence.
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