Divergent Real Sequence to Infinity/Examples

Examples of Divergent Real Sequences to Infinity

Example: $\paren {-1} n$

Let $\sequence {a_n}_{n \mathop \ge 1}$ be the real sequence defined as:

$a_n = \paren {-1} n$

Then $\sequence {a_n}$ is divergent to $\infty$.

However, $\sequence {a_n}$ is neither divergent to $+\infty$ nor divergent to $-\infty$.