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Fungrim entry: fdfdcc

\lim_{n \to \infty} \frac{F_{n + 1}}{F_{n}} = \varphi

TeX:

\lim_{n \to \infty} \frac{F_{n + 1}}{F_{n}} = \varphi

Definitions:

Fungrim symbol	Notation	Short description
`SequenceLimit`	$\lim_{n \to a} f(n)$	Limiting value of sequence
`Fibonacci`	$F_{n}$	Fibonacci number
`Infinity`	$\infty$	Positive infinity
`GoldenRatio`	$\varphi$	The golden ratio (1.618...)

Source code for this entry:

Entry(ID("fdfdcc"),
    Formula(Equal(SequenceLimit(Div(Fibonacci(Add(n, 1)), Fibonacci(n)), For(n, Infinity)), GoldenRatio)))

Topics using this entry

Fibonacci numbers

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC