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Proposition: Direct Comparison Test For Divergent Series

A real infinite series \(\sum_{k=0}^\infty x_k\) is divergent, if the is a divergent series $\sum_{k=0}^\infty y_k$ such that $x_k\ge y_k \ge 0$ for all $k\in\mathbb N.$

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Proofs: 1

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References

Bibliography

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