## Calculus 8th Edition

$\lim\limits_{n \to \infty}\frac{a_{n}}{b_{n}}=\lim\limits_{n \to \infty}\frac{tan(1/n)}{1/n}$ Note that $\Sigma_{n=1}^{\infty}\frac{1}{n}$ is a harmonic series, which is divergent. The series is divergent.