Exercise. Suppose that (x,n)nEN and (yn)neN are two sequences in a metric space (X, p) such that xn x and Yn y as n o. Prove that the real sequence (p(xn, Yn))neN Converges to p(x, y) as nox.
Exercise. Suppose that (x,n)nEN and (yn)neN are two sequences in a metric space (X, p) such that xn x and Yn y as n o. Prove that the real sequence (p(xn, Yn))neN Converges to p(x, y) as nox.
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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