$$e^{i\pi}=\lim\limits_{N\to\infty}\left(1 + \frac{iπ}{N}\right)^N$$
alt text http://upload.wikimedia.org/wikipedia/commons/0/0e/ExpIPi.gif
$$e^{i\pi}=\lim\limits_{N\to\infty}\left(1 + \frac{iπ}{N}\right)^N$$
alt text http://upload.wikimedia.org/wikipedia/commons/0/0e/ExpIPi.gif