Definition:Bounded Sequence/Complex

Definition
Let $\left \langle {z_n} \right \rangle$ be a complex sequence.

Then $\left \langle {z_n} \right \rangle$ is bounded iff $\exists m, M \in \R$ such that $\forall i \in \N$:
 * $\left|{z_i} \right| \le M$