Question: Suppose {a n } and {b n } are two sequences. Which of the following statement(s) must be true ? If {a n } and

Suppose {an} and {bn} are two sequences. Which of the following statement(s) must be true?

If {an} and {bn} both converge, so does the sequence {3an2bn}.

If {an} and {bn} both converge, so does {anbn+n21}.

If {an+bn} converges, then at least one of the sequences {an} or {bn} converges.

If {anbn} and {4bn} both converge, so does {an}.

If {an} and {bn} are two positive sequences, and they both converge, then {bnan}also converges.

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