Write on paper ..! 1. Let 2₁ k> 0 and n+1 = √4,- 1 for all n € J.(a) Determine for what values of k the sequence {n} will be monotone increasing.(b) For those values of k, prove that the sequence {n}1 converges, and find its limit.

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Answered: 1. Let x₁ = k> 0 and 2n+1 = √4xn-1 for…

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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1. Let x₁ = k> 0 and 2n+1 = √4xn-1 for all n E J. (a) Determine for what values of k the sequence (zn) (b) For those values of k, prove that the sequence {n} will be monotone increasing. converges, and find its limit.