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Fungrim entry: feb1a0

lim sup⁡n→∞φ ⁣(n+1)φ(n)=∞\limsup_{n \to \infty} \frac{\varphi\!\left(n + 1\right)}{\varphi(n)} = \infty
TeX:
\limsup_{n \to \infty} \frac{\varphi\!\left(n + 1\right)}{\varphi(n)} = \infty
Definitions:
Fungrim symbol Notation Short description
SequenceLimitSuperiorlim sup⁡n→af(n)\limsup_{n \to a} f(n) Limit superior of sequence
Totientφ(n)\varphi(n) Euler totient function
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("feb1a0"),
    Formula(Equal(SequenceLimitSuperior(Div(Totient(Add(n, 1)), Totient(n)), For(n, Infinity)), Infinity)))

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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