a. In a metric Space (X, d) if (xn) and (yn) are two sequences in X such that : X - x€ X and yn → y € X given (n) # 0 and y # 0 Show that: Yn у b. Show that every Convergent Sequence is a Cauchy Sequence
a. In a metric Space (X, d) if (xn) and (yn) are two sequences in X such that : X - x€ X and yn → y € X given (n) # 0 and y # 0 Show that: Yn у b. Show that every Convergent Sequence is a Cauchy Sequence
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 32E
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