Provide an example (and prove that it works) or prove that there’s no such example exists.
a) A bounded sequence that does not converge to 4/9 but has a subsequence converging to 4/9
b) A monotone sequence that does not converge to 4/9 but has a subsequence converging to 4/9
c) A sequence with both an increasing subsequence and a decreasing subsequence that does not converge.
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The post Provide an example (and prove that it works) or prove that there’s no such example exists. a) A bounded sequence that does not converge to 4/9 but has a subsequence converging to 4/9 appeared first on Superb Professors.
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