# How do you use the Nth term test on the infinite series sum_(n=1)^oosin(n) ?

Since ${\lim}_{n \to \infty} | \sin \left(n\right) |$ does not exist,
${\lim}_{n \to \infty} | \sin \left(n\right) | \ne 0$
${\sum}_{n = 1}^{\infty} \sin \left(n\right)$ diverges.