Only b and c if possible. 2.2.8. Using the result in Exercise 2.2.5, prove the following results.a) Suppose that 0 ≤ x1 ≤ 1 and xn+1 = 1-√√1- xn for ne N. If xn → x2321083X3as n→∞, then x = 0 or 1.101 asignab) Suppose that x₁ > 3 and xn+1 = 2 + √√xn-2 for ne N. If xn → x asn→ ∞, then x = 3.(c)Suppose that x₁ ≥ 0 and xn+1 √2+xn for ne N. If xnx asn → ∞, then x = 2. What happens if x₁ > -2?1

Answered: Image /qna-images/answer/b69e38bd-2e6c-4b6c-9ab2-3c044c83382a.jpg

Answered: b) Suppose that x₁ > 3 and xn+1 = 2 +…

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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b) Suppose that x₁ > 3 and xn+1 = 2 + √√xn-2 for ne N. If xn → x as n→ ∞, then x = 3. If 20