Fungrim home page

Fungrim entry: 0574c1

Fnφn5,  nF_{n} \sim \frac{{\varphi}^{n}}{\sqrt{5}}, \; n \to \infty
TeX:
F_{n} \sim \frac{{\varphi}^{n}}{\sqrt{5}}, \; n \to \infty
Definitions:
Fungrim symbol Notation Short description
FibonacciFnF_{n} Fibonacci number
Powab{a}^{b} Power
GoldenRatioφ\varphi The golden ratio (1.618...)
Sqrtz\sqrt{z} Principal square root
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("0574c1"),
    Formula(Equal(AsymptoticTo(Fibonacci(n), Div(Pow(GoldenRatio, n), Sqrt(5)), n, Infinity))))

Topics using this entry

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

2019-09-22 15:43:45.410764 UTC