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Fungrim entry: a3ab2a

\lim_{n \to \infty} \frac{\log\!\left(g(n)\right)}{\sqrt{n \log(n)}} = 1

TeX:

\lim_{n \to \infty} \frac{\log\!\left(g(n)\right)}{\sqrt{n \log(n)}} = 1

Definitions:

Fungrim symbol	Notation	Short description
`SequenceLimit`	$\lim_{n \to a} f(n)$	Limiting value of sequence
`Log`	$\log(z)$	Natural logarithm
`LandauG`	$g(n)$	Landau's function
`Sqrt`	$\sqrt{z}$	Principal square root
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("a3ab2a"),
    Formula(Equal(SequenceLimit(Div(Log(LandauG(n)), Sqrt(Mul(n, Log(n)))), For(n, Infinity)), 1)))

Topics using this entry

Landau's function

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