5. Given two Cauchy sequences {an}_1, {bn}_1 in Q. Show that (a) {an + bn}_1 is Cauchy; (b) (anbn) is Cauchy.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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5. Given two Cauchy sequences {an}_1, {bn}a_1 in Q. Show that
8
(a) {an + bn}_1 is Cauchy;
(b) {anbn}1 is Cauchy.
n= =1
Transcribed Image Text:5. Given two Cauchy sequences {an}_1, {bn}a_1 in Q. Show that 8 (a) {an + bn}_1 is Cauchy; (b) {anbn}1 is Cauchy. n= =1
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