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
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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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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