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Fungrim entry: 33139b

lim inf⁡n→∞φ ⁣(n+1)φ(n)=0\liminf_{n \to \infty} \frac{\varphi\!\left(n + 1\right)}{\varphi(n)} = 0
TeX:
\liminf_{n \to \infty} \frac{\varphi\!\left(n + 1\right)}{\varphi(n)} = 0
Definitions:
Fungrim symbol Notation Short description
SequenceLimitInferiorlim inf⁡n→af(n)\liminf_{n \to a} f(n) Limit inferior of sequence
Totientφ(n)\varphi(n) Euler totient function
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("33139b"),
    Formula(Equal(SequenceLimitInferior(Div(Totient(Add(n, 1)), Totient(n)), For(n, Infinity)), 0)))

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2021-03-15 19:12:00.328586 UTC