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Fungrim entry: 2b6e60

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

TeX:

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

Definitions:

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

Source code for this entry:

Entry(ID("2b6e60"),
    Formula(Equal(GoldenRatio, SequenceLimit(Div(Fibonacci(Add(n, 1)), Fibonacci(n)), For(n, Infinity)))))

Topics using this entry

Golden ratio

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