Definition: Harmonic Series

The real series. \[\sum_{n=1}^\infty \frac 1n\]

is called the harmonic series.

  1. Proposition: Divergence of Harmonic Series
  2. Proposition: Convergence of Alternating Harmonic Series

Examples: 1
Lemmas: 2
Proofs: 3 4 5
Propositions: 6 7


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References

Bibliography

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