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Proposition: Convergent Sequences are Bounded

Every convergent sequence in a metric space is a bounded sequence.

Notes

This is a generalization of the special case of real sequences.

Table of Contents

Proofs: 1

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References

Bibliography

  1. Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984