Definition:Unbounded Divergent Sequence/Real Sequence

Definition
Let $\sequence {x_n}$ be a sequence in $\R$.

Unbounded
$\sequence {x_n}$ tends to $\infty$ or diverges to $\infty$ :
 * $\forall H > 0: \exists N: \forall n > N: \size {x_n} > H$

Also see

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