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.
@article{1663,
title = {Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence},
journal = {CUBO, A Mathematical Journal},
volume = {5},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/1663}
}
Chen, Chao-Ping; Liu, Ai-Qi; Qi, Feng. Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence. CUBO, A Mathematical Journal, Tome 5 (2003) . http://gdmltest.u-ga.fr/item/1663/