Convergent Complex Sequence/Examples/(3+in)^2 over n^2

Example of Convergent Complex Sequence
Let $\sequence {z_n}$ be the complex sequence defined as:
 * $z_n = \dfrac {\paren {3 + i n}^2} {n^2}$

Then:
 * $\ds \lim_{n \mathop \to \infty} z_n = -1$