1. ## Infinite Sum Limit

I had some trouble with this problem while preparing for the Calculus BC AP test. Any tricks to a solution?

If $\displaystyle n$ is a positive integer, then $\displaystyle \lim_{n\rightarrow+\infty} \frac{1}{n}\left( \sin \left( \frac{\pi }{n} \right)\; +\; \sin \left( \frac{2\pi }{n} \right)\; +\; ...\; +\; \sin \left( \frac{n\pi }{n} \right) \right)$