Exercise 6. Let (an) be the sequence Sao d Ants = 20²0. an +1 Let α = = 42 defined by = and show that. a) Show that "os an ≤ 1 for every n (an) is monotone and convergent. Hence, deduce the value of its limit. L 6) Discuss what happens in the case where α=2 c) Calculate Lim (logn) ^_ n 2-2-2√2² 42

Exercise 6. Let (an) be the sequence Sao d Ants = 20²0. an +1 Let α = = 42 defined by = and show that. a) Show that "os an ≤ 1 for every n (an) is monotone and convergent. Hence, deduce the value of its limit. L 6) Discuss what happens in the case where α=2 c) Calculate Lim (logn) ^_ n 2-2-2√2² 42

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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