## Calculus 8th Edition

converges to $0$.
$\lim\limits_{n \to \infty}a_{n}=\lim\limits_{n \to \infty}\frac{tan^{-1}n}{n}$ $=\frac{\lim\limits_{n \to \infty}tan^{-1}n}{\lim\limits_{n \to \infty}n}$ $=\frac{\pi/2}{\infty}$ $=0$ The given sequence converges to $0$.