Question: Problem 15 (a) Let {3} be a sequence. If {Isnl} converges, must the original sequence {3} converge also? (b) What if you know that {Isnl}

$Problem 15 (a) Let {3\"} be a sequence. If {Isnl} converges,$

Problem 15 (a) Let {3\"} be a sequence. If {Isnl} converges, must the original sequence {3\"} converge also? (b) What if you know that {Isnl} converges to 0? In each case, either prove the statement or provide an explicit counterexample

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