2. Let the sequence (n) be recursively defined by x1 = √√2 and xn+1 = √2+xn, n≥1. Show that (xn) converges and evaluate its limit.
2. Let the sequence (n) be recursively defined by x1 = √√2 and xn+1 = √2+xn, n≥1. Show that (xn) converges and evaluate its 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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Please help solve this I want an expert to solve and explain how to approach this problem please espiaclly the induction step
Transcribed Image Text:2. Let the sequence (n) be recursively defined by x1 = √√2 and
xn+1 =
√2+xn, n≥1.
Show that (xn) converges and evaluate its limit.
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