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Fungrim entry: a3ab2a

limnlog ⁣(g(n))nlog(n)=1\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
SequenceLimitlimnaf(n)\lim_{n \to a} f(n) Limiting value of sequence
Loglog(z)\log(z) Natural logarithm
LandauGg(n)g(n) Landau's function
Sqrtz\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)))

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2019-10-05 13:11:19.856591 UTC