## Calculus: Early Transcendentals 8th Edition

Given:$\sum_{n=1}^{\infty}{n^{-sin1}}$ or $\sum_{n=1}^{\infty}\frac{1}{n^{sin1}}$ Any series of the form $\sum_{n=1}^{\infty}\frac{1}{n^{p}}$ is known as p-series. A p-series is convergent if and only if $p>1$ Here $p=sin1$ and $sin1<1$ Thus, the series diverges. Hence, the statement is false.