Let (a) and (bn) be two bounded sequences of positive real numbers. Prove that lim sup (anb) (lim sup an) (lim sup br).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
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help proof this cuase i just want to double check my work

 

Let (a) and (bn) be two bounded sequences of positive real numbers. Prove that
lim sup (anb) (lim sup an) (lim sup br).
Transcribed Image Text:Let (a) and (bn) be two bounded sequences of positive real numbers. Prove that lim sup (anb) (lim sup an) (lim sup br).
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