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Recall that lim sup an = inf sup{am : m n}. n Assume that an 2 0. Show that lim an = 0 if and only if lim sup an = 0. n00

Recall that lim sup an = inf sup{am : m n}. n Assume that an 2 0. Show that lim an = 0 if and only if lim sup an = 0. n00

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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Recall that lim sup an = inf sup{am : m n}. n Assume that an 2 0. Show that lim an = 0 if and only if lim sup an = 0. n 00
Transcribed Image Text:Recall that lim sup an = inf sup{am : m n}. n Assume that an 2 0. Show that lim an = 0 if and only if lim sup an = 0. n 00
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