4. Let (#1, y1) = (0,0) and let (n+1, Yn+1} = (2+ yn, 3 – Tn) for n > 1. Prove that (Cn, Yn) is a contractive sequence and find its limit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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4. Let (#1, 1) = (0,0) and let (an+1, Yn+1) = (2 + Yn, 3 – Tn) for n > 1. Prove that (&n, Yn) is a
contractive sequence and find its limit.
Transcribed Image Text:4. Let (#1, 1) = (0,0) and let (an+1, Yn+1) = (2 + Yn, 3 – Tn) for n > 1. Prove that (&n, Yn) is a contractive sequence and find its limit.
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