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Fungrim entry: 3fe47b

atan⁡(x)≥πxπ+2x\operatorname{atan}(x) \ge \frac{\pi x}{\pi + 2 x}
Assumptions:x∈[0,∞)x \in \left[0, \infty\right)
TeX:
\operatorname{atan}(x) \ge \frac{\pi x}{\pi + 2 x}

x \in \left[0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
Atanatan⁡(z)\operatorname{atan}(z) Inverse tangent
Piπ\pi The constant pi (3.14...)
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("3fe47b"),
    Formula(GreaterEqual(Atan(x), Div(Mul(Pi, x), Add(Pi, Mul(2, x))))),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(0, Infinity))))

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2021-03-15 19:12:00.328586 UTC