2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the limit.
2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the limit.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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