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Proposition: Convergence Behaviour of Absolutely Convergent Series
- Every absolutely convergent series is also convergent (in the usual sense).
- 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 2
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- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983