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' 1 ~ '1 8. State whether the following is True or False. Give a one sentence explanation, an example, or a counterexample to

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"' 1 ~ \\ '1 8. State whether the following is True or False. Give a one sentence explanation, an example, or a counterexample to justify each answer. (a) If a sequence is not bounded, it is not Cauchy. (b) A bounded sequence that is not monotone does not converge. n5 + 7201113 + 4001:2 +1011 + 5 (c) The sequence defined by an 2 has a convergent subsequence. n5 + 720M + 400112 +10n + 6

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