Divergent Real Sequence to Infinity/Examples
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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 $-\infty$.