3. Let a sequence (xn) be defined recursively by letting 1 =1 and xn+1 = In for n > 1. 4n2 (a) Show that lim r, exists without evaluating the limit. (b) Find the limit lim xn.

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 25E
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1
Let a sequence (xn) be defined recursively by letting ı = 1 and xn+1 =
In for n > 1.
4n2
3.
1-
(a) Show that lim r, exists without evaluating the limit.
(b) Find the limit lim xn.
Transcribed Image Text:1 Let a sequence (xn) be defined recursively by letting ı = 1 and xn+1 = In for n > 1. 4n2 3. 1- (a) Show that lim r, exists without evaluating the limit. (b) Find the limit lim xn.
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