Definition:Unbounded Divergent Sequence/Complex Sequence

Definition
Let $\sequence {z_n}$ be a sequence in $\C$.

Then $\sequence {z_n}$ tends to $\infty$ or diverges to $\infty$ :
 * $\forall H > 0: \exists N: \forall n > N: \cmod {z_n} > H$

where $\cmod {z_n}$ denotes the modulus of $z_n$.

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

Also see

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