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Prove that if {an} is a bounded sequence (not necessarily convergent) and {bn} converges to 0, then anbn →0. Use this result to prove that sin n COS n lim 818 n = lim 318 n = 0.

Prove that if {an} is a bounded sequence (not necessarily convergent) and {bn} converges to 0, then anbn →0. Use this result to prove that sin n COS n lim 818 n = lim 318 n = 0.

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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I'm not sure if I need to use squeeze theorem or if there is a simpler approach.... Thank you in advance for your help.

and {bn} converges to 0, then anbn Prove that if {an} is a bounded sequence (not nece ecessarily convergent) 0. Use this result to prove that sin n COS n lim 81x n = lim 818 n = 0.
Transcribed Image Text:and {bn} converges to 0, then anbn Prove that if {an} is a bounded sequence (not nece ecessarily convergent) 0. Use this result to prove that sin n COS n lim 81x n = lim 818 n = 0.
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