Definition:Unbounded Divergent Sequence/Complex Sequence

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

Then $\left \langle {z_n} \right \rangle$ tends to $\infty$ or diverges to $\infty$ iff:
 * $\forall H > 0: \exists N: \forall n > N: \left|{z_n}\right| > H$

where $\left|{z_n}\right|$ is the modulus of $z_n$.

We write:
 * $x_n \to \infty$ as $n \to \infty$.

Also see

 * Definition:Divergent Real Sequence to Infinity
 * Definition:Divergent Sequence
 * Definition:Infinite Limit at Infinity