Suppose that {a,} is a monotone sequence such that an < 14 for all n. Must the sequence converge? If so, what can you say about the limit? The sequence diverges. The sequence converges to the limit L = 14. O The sequence either increases and converges to the limit L = 14 or decreases - in this case we can't say whether the sequence converges or not. O The sequence either increases and converges to the limit L satisfying L < 14 or decreases - in this case we can't say whether the sequence converges or not. O The sequence either decreases and converges to the limit L satisfying L > 14 or increases - in this case we can't say whether the sequence converges or not.

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 that {an} is a monotone sequence such that a, < 14 for all n. Must the sequence converge? If so, what can you say
about the limit?
The sequence diverges.
The sequence converges to the limit L = 14.
The sequence either increases and converges to the limit L = 14 or decreases - in this case we can't say whether
the sequence converges or not.
The sequence either increases and converges to the limit L satisfying L < 14 or decreases - in this case we can't
say whether the sequence converges or not.
O The sequence either decreases and converges to the limit L satisfying L > 14 or increases - in this case we can't
say whether the sequence converges or not.
Transcribed Image Text:Suppose that {an} is a monotone sequence such that a, < 14 for all n. Must the sequence converge? If so, what can you say about the limit? The sequence diverges. The sequence converges to the limit L = 14. The sequence either increases and converges to the limit L = 14 or decreases - in this case we can't say whether the sequence converges or not. The sequence either increases and converges to the limit L satisfying L < 14 or decreases - in this case we can't say whether the sequence converges or not. O The sequence either decreases and converges to the limit L satisfying L > 14 or increases - in this case we can't say whether the sequence converges or not.
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