6 If (rn) and (yn) are bounded real sequences, show that sup(n+yn) ≤ lim supan + lim sup yn lim 84x n+x0 84x Do we have equality?
6 If (rn) and (yn) are bounded real sequences, show that sup(n+yn) ≤ lim supan + lim sup yn lim 84x n+x0 84x Do we have equality?
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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![6 If (n) and (yn) are bounded real sequences, show that
lim sup(n + yn) ≤ lim supan + lim sup yn.
n-x
n-x
n4x
Do we have equality?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ec5ddda-c611-4c2f-9ae1-ae818e2c1ce3%2F745bf56c-f24b-4a8d-b1d6-658f32e581da%2Fzai9x6a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6 If (n) and (yn) are bounded real sequences, show that
lim sup(n + yn) ≤ lim supan + lim sup yn.
n-x
n-x
n4x
Do we have equality?
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