(a) If the sequence ()neN CX is convergent, show that it is bounded. (b) If the sequence (n)neN CX is convergent, prove that it is Cauchy. Is the converse true?
(a) If the sequence ()neN CX is convergent, show that it is bounded. (b) If the sequence (n)neN CX is convergent, prove that it is Cauchy. Is the converse true?
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 72E
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