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Proposition: Convergence Behaviour of Absolutely Convergent Series

1. Every absolutely convergent series is also convergent (in the usual sense).
2. The converse does not hold: there are some convergent series, which are not absolutely convergent.

In that sense, the absolute convergence is a stronger property than the convergence.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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References

Bibliography

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