Definition:Unbounded Divergent Sequence/Real Sequence

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

Divergent to Infinity
Consider the case where $\sequence {x_n}$ is both unbounded above and unbounded below.

Also see

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