Arctangent is of Exponential Order Zero

Theorem

Let $\arctan: \R \to \openint {-\dfrac \pi 2} {\dfrac \pi 2}$ be the real arctangent.

Then $\arctan$ is of exponential order $0$.

Proof

Follows from Function with Limit at Infinity of Exponential Order Zero.

$\blacksquare$

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