Since Xn→b, Xn is Cauchy, and since f is uniformly continuous, f(Xn) is Cauchy. Since R is complete and f(Xn) is Cauchy, lim f(Xn) exists.
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Since Xn→b, Xn is Cauchy, and since f is uniformly continuous, f(Xn) is Cauchy. Since R is complete and f(Xn) is Cauchy, lim f(Xn) exists.