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

If {a_n} and {b_n} both converge, so does the sequence {3a_n2b_n}.

If {a_n} and {b_n} both converge, so does {a_nb_n+n21}.

If {a_n+b_n} converges, then at least one of the sequences {a_n} or {b_n} converges.

If {a_nb_n} and {4b_n} both converge, so does {a_n}.

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