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Fungrim entry: 2b6e60

φ=limnFn+1Fn\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
GoldenRatioφ\varphi The golden ratio (1.618...)
SequenceLimitlimnaf(n)\lim_{n \to a} f(n) Limiting value of sequence
FibonacciFnF_{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)))))

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

2019-10-05 13:11:19.856591 UTC