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Proposition: Convergence of Alternating Harmonic Series

The alternating harmonic series \[\sum_{n=1}^\infty \frac {(-1)^{n-1}}n=1-\frac 12+\frac 13-\frac 14+\frac 15-\frac 16\pm\ldots \] is convergent.

Table of Contents

Proofs: 1

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References

Bibliography

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