Convergent Complex Series/Examples/e^in over n^2

Example of Convergent Complex Series
The series $\displaystyle \sum_{n \mathop = 1}^\infty a_n$, where:
 * $a_n = \dfrac {e^{i n} } {n^2}$

is convergent.

Proof
Thus $\displaystyle \sum_{n \mathop = 1}^\infty \dfrac {e^{i n} } {n^2}$ is absolutely convergent.

The result follows from Absolutely Convergent Series is Convergent: Complex Numbers.