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Definition: Bounded Complex Sequences
Let \((a_n)_{n\in\mathbb N}\) be a complex sequence. Since the absolute value of a complex number is a real number, we can compare it to other real number using the order relation for real numbers "\(\le\)".
We call the complex sequence \((a_n)_{n\in\mathbb N}\) bounded, if there is a positive real number \(B\) with \(a_n\le B\) for all \(n\in\mathbb N\).
Table of Contents
 Proposition: Convergent Complex Sequences Are Bounded
Mentioned in:
Proofs: 1 2
Propositions: 3 4
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983