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Fungrim entry: fdfdcc

limnFn+1Fn=φ\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
SequenceLimitlimnaf(n)\lim_{n \to a} f(n) Limiting value of sequence
FibonacciFnF_{n} Fibonacci number
Infinity\infty Positive infinity
GoldenRatioφ\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)))

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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