Convergent Complex Sequence/Examples/((1 + i n) over (1 + n))^3

Example of Convergent Complex Sequence
Let $\sequence {z_n}$ be the complex sequence defined as:
 * $z_n = \paren {\dfrac {1 + i n} {1 + n} }^3$

Then:
 * $\displaystyle \lim_{n \mathop \to \infty} z_n = -i$