(a) Let (an) be a bounded (not necessarily convergent)sequence, and assume lim bn = 0. Show that lim(anbn) = 0. Why arewe not allowed to use the Algebraic Limit Theorem to prove this?
(a) Let (an) be a bounded (not necessarily convergent)sequence, and assume lim bn = 0. Show that lim(anbn) = 0. Why arewe not allowed to use the Algebraic Limit Theorem to prove this?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 8RE
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(a) Let (an) be a bounded (not necessarily convergent)
sequence, and assume lim bn = 0. Show that lim(anbn) = 0. Why are
we not allowed to use the Algebraic Limit Theorem to prove this?
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