Please do exercise 2.2.5 with explanations • Exercise 2.1.18. Let {n} be a sequence, and let a be a real number. Suppose that for every positive , there isan M such that n - x ≤e when n ≥ M. Show that limn→∞ n = x.Exercise 2.2.5. Supposen - cos(n)In :=nUse the squeeze lemma to show that the sequence {n} converges, and find the limit.RemarksThe statement in Exercise 2.1.18 is almost the same as Definition 2.1.2, except that "< " has been replaced by theapparently weaker property "< €." Your task is to explain why this change actually does not matter.In Exercise 2.2.5, the instruction to "find the limit" is not really a separate task, for the conclusion of the squeeze lemmaidentifies the value of the limit.

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Answered: In := n cos(n) n Use the squeeze lemma…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

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In := n cos(n) n Use the squeeze lemma to show that the sequence {n} converges, and find the limit.