Proposition: Rational Cauchy Sequence Members Are Bounded
For any given rational Cauchy sequence \((a_n)_{n\in\mathbb N}\), the rational numbers \(a_n\) are bounded, i.e. there exists a positive constant \(c\in\mathbb Q\), such that \(|a_n|\le c\) for all \(n\in\mathbb N\).
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3
Thank you to the contributors under CC BY-SA 4.0! 
- Github:
-
References
Bibliography
- Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013
