2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the limit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 20RE
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Let x1 > 1andxnþ1 :¼ 2 1=xn forn 2 N.showthatðxnÞis bounded and monotone. Find the limit. can you help with explaining the induction step here becuase im a bit lsot on that part.

2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the
limit.
Transcribed Image Text:2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the limit.
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