et {B„} C R be a sequence and x € (0,1). Prove that if |B,+1– B,|< x|B, – Bn-1| Vn > 1 hen {B,} is Cauchy and hence convergent.
et {B„} C R be a sequence and x € (0,1). Prove that if |B,+1– B,|< x|B, – Bn-1| Vn > 1 hen {B,} is Cauchy and hence convergent.
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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