ACIT4330-Page/content/Definitions/Rational Cauchy Sequences.md

Definition

They are sequences \{ x_{n} \subset \mathbb{Q} \} such that

\forall k \in \mathbb{N} \; \exists N \in \mathbb{N}

Such that

|x_{m} - x_{n}| \lt \frac{1}{k}, \; \forall m, n \gt N.