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Corollary: Convergence of Complex Conjugate Sequence

(related to Proposition: Convergent Complex Sequences Vs. Convergent Real Sequences)

If \((c_n)_{n\in\mathbb N}\) is a convergent complex sequence with \[\lim_{n\to\infty}c_n=c,\] then the sequence of complex conjugates \((\overline{c_n})_{n\in\mathbb N}\) is also convergent with \[\lim_{n\to\infty}\overline{c_n}=\overline{c}.\]

Table of Contents

Proofs: 1

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References

Bibliography

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