Answered: Let F(n) be the function of the…

Let F(n) be the function of the Fibonacci numbers, where F(n) is the nth lean of the Fibonacci numbers. The limit of F(n)/F(n+1) when n approaches infinity converges to a value of _______ a. phi -1

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.4: Applications Of Eigenvalues And Eigenvectors

Problem 10E: Find the limit if it exists of Anx1 as n approaches infinity, where A=[02120], and x1=[aa]

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Question

Let F(n) be the function of the Fibonacci numbers, where F(n) is the nth lean of the Fibonacci numbers. The limit of F(n)/F(n+1) when n approaches infinity converges to a value of _______ a.
phi -1
b. phi - 2
c. phi + 1
d. phi+2

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