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 818 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 818 n = 0. ->
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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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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