Let (an) and (bn) be two bounded sequences of positive real numbers. Prove that lim sup(anbn) (lim sup an) (lim sup b).
Let (an) and (bn) be two bounded sequences of positive real numbers. Prove that lim sup(anbn) (lim sup an) (lim sup b).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 45RE
Question
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Transcribed Image Text:Let (an) and (bn) be two bounded sequences of positive real numbers. Prove that
lim sup(anbn) (lim sup an) (lim sup b).
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