Question 2. (20 marks) Let (zn)n be the sequence of real numbers defined by 1 = √2, n+1 = √n+2, neN. (i) Show that 0 < n ≤ 2, for any ne N. (ii) Prove that (n)n is convergent and find limon.
Question 2. (20 marks) Let (zn)n be the sequence of real numbers defined by 1 = √2, n+1 = √n+2, neN. (i) Show that 0 < n ≤ 2, for any ne N. (ii) Prove that (n)n is convergent and find limon.
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 73E
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