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Example: Divergent Alternating Sequence

(related to Definition: Divergent Sequences)

The real sequence \((-1)^n_{n\in\mathbb N}\): \((1,-1,1,-1,1,-1,\ldots)\) is divergent, since it does not converge either to the number \(1\), nor to the number \(-1\). It is also alternating, since the sign of its sequence members changes.

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983