Theorem: Completeness Principle for Complex Numbers

Every complex Cauchy sequence \((c_n)_{n\in\mathbb N}\) in the metric space \((\mathbb C,|~|)\) converges against a limit \(c\in\mathbb C\).

Proofs: 1

Explanations: 1
Proofs: 2
Propositions: 3


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References

Bibliography

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