Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence
Author
Chen, Chao-Ping
Liu, Ai-Qi
Qi, Feng
Abstract
In the short note, six proofs for the limit of ratios of consecutive terms in Fibonacci sequence are provided, including using Weierstrass-Bolzano theorem, series method, by definition of limit, difference equation method, matrix method, algebraic method.