Arctangent is of Exponential Order Zero

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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.

$\blacksquare$