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Suppose that {a,} is a monotone sequence such that a, 8 for all n. Must the sequence converge? If so, what can you say about th limit? O The sequence diverges. O The sequence either increases and converges to the limit L= 8 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 Lsatisfying L<8 or decreases - in this case we can't say whether the sequence converges or not. O The sequence converges to the limitL= 8. O The sequence either decreases and converges to the limit satisfying 2 8 or increases - in this case we can't say whether the sequence converges or not.

Suppose that {a,} is a monotone sequence such that a, 8 for all n. Must the sequence converge? If so, what can you say about th limit? O The sequence diverges. O The sequence either increases and converges to the limit L= 8 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 Lsatisfying L<8 or decreases - in this case we can't say whether the sequence converges or not. O The sequence converges to the limitL= 8. O The sequence either decreases and converges to the limit satisfying 2 8 or increases - in this case we can't say whether the sequence converges or not.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that {a, } is a monotone sequence such that a, 8 for all n. Must the sequence converge? If so, what can you say about the limit? O The sequence diverges. O The sequence either increases and converges to the limit = 8 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 8 or decreases - in this case we can't say whether the sequence converges or not. O The sequence converges to the limitL= 8. O The sequence either decreases and converges to the limit Lsatisfying 2 8 or increases - in this case we can't say whether the sequence converges or not.
Transcribed Image Text:Suppose that {a, } is a monotone sequence such that a, 8 for all n. Must the sequence converge? If so, what can you say about the limit? O The sequence diverges. O The sequence either increases and converges to the limit = 8 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 8 or decreases - in this case we can't say whether the sequence converges or not. O The sequence converges to the limitL= 8. O The sequence either decreases and converges to the limit Lsatisfying 2 8 or increases - in this case we can't say whether the sequence converges or not.
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