Let a, be a dounded nonnegative sequence prove that: 1 lim sup n-0 (1+xn) 1 lim sup(1 +n) 1 lim inf (1 + an) n00 n 00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let a, be a dounded nonnegative sequence prove that:
1
lim sup
n-0 (1+ xn)
1
1
lim inf (1 + xn)
lim sup(1+ n)
n00
n00
Transcribed Image Text:Let a, be a dounded nonnegative sequence prove that: 1 lim sup n-0 (1+ xn) 1 1 lim inf (1 + xn) lim sup(1+ n) n00 n00
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