real analysis - Convergence of series $sum_{n=1}^{infty} sinleft( frac{npi}{6}right)$

Decide if the series $\sum_{n=1}^{\infty} \sin\left( \frac{n\pi}{6}\right)$ converges or not.

I've tried to use the ratio test but I had no success. I don't see how other convergence tests could work.

Thanks for your help!

Answer

Hint: What is $\lim_{n\to\infty}\sin\left(\frac{n\pi}{6}\right)$?