Suppose {an} and {bn} are two sequences. Which of the following statement(s) must be true? O If {an} and {b„} both converge, so does the sequence {3a,– 2b, } . If {a,} and {b,} both converge, so does a, -b, +} O If {an+bn} converges, then at least one of the sequences {an} or {bn} converges. O If {an-bn} and {4b,} both converge, so does {a,}. an If {an} and {bn} are two positive sequences, and they both converge, then also converges.

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Suppose {an} and {bn} are two sequences.
Which of the following statement(s) must be true?
O If {an} and {b„} both converge, so does the sequence {3a,– 2b, } .
O If {a,} and {b,} both converge, so does a, -b, +
O If {an+bn} converges, then at least one of the sequences {an} or {bn} converges.
O If {an-bn} and {4b,} both converge, so does {a,}.
An
If {an} and {bn} are two positive sequences, and they both converge, then
also converges.
Transcribed Image Text:Suppose {an} and {bn} are two sequences. Which of the following statement(s) must be true? O If {an} and {b„} both converge, so does the sequence {3a,– 2b, } . O If {a,} and {b,} both converge, so does a, -b, + O If {an+bn} converges, then at least one of the sequences {an} or {bn} converges. O If {an-bn} and {4b,} both converge, so does {a,}. An If {an} and {bn} are two positive sequences, and they both converge, then also converges.
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