inf an · inf bn < inf(anbn) < sup an · inf bn

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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How to prove infimum and supremum?

Let (an), (bn) be bounded, non-negative sequences. Show that
inf an · inf bn < inf(anbn) < sup an · inf bn
n
n
n
Transcribed Image Text:Let (an), (bn) be bounded, non-negative sequences. Show that inf an · inf bn < inf(anbn) < sup an · inf bn n n n
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