Let (an). (bn) be two bounded sequences. a. Show that lim sup max(a,, b,) > max(lim sup an, lim sup b,). b. Give an example of (a,). (b,) such that the strict inequality holds.
Let (an). (bn) be two bounded sequences. a. Show that lim sup max(a,, b,) > max(lim sup an, lim sup b,). b. Give an example of (a,). (b,) such that the strict inequality holds.
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:Let (an). (bn) be two bounded sequences.
a. Show that
lim sup max(a,, b,) > max(lim sup an, lim sup b, ).
b. Give an example of (a,), (b,) such that the strict inequality holds.
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