◀ ▲ ▶Branches / Analysis / Proposition: Uniqueness Of the Limit of a Sequence

applicability: $\mathbb {N, Z, Q, R, C}$

Proposition: Uniqueness Of the Limit of a Sequence

If a real sequence $(x_n)_{n\in N}$ is convergent, then its limit is unique.

Note

• This is a special case for real sequences.
• The generalized result is proven for any metric space here.

Table of Contents

Proofs: 1

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
2. Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984