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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, } . 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.

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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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