%3D 3. (a) Assume that the sequence defined recursively by a1 = 1 and 1 1+ 1+ an An+1 n> 1, is convergent.. Show that lim an V2. (b) Show that the sequence {bn}, where b, = (n – 1)/n, is increasing and bounded above. What can you say about any sequence with these two properties?
%3D 3. (a) Assume that the sequence defined recursively by a1 = 1 and 1 1+ 1+ an An+1 n> 1, is convergent.. Show that lim an V2. (b) Show that the sequence {bn}, where b, = (n – 1)/n, is increasing and bounded above. What can you say about any sequence with these two properties?
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 55E
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