ACIT4330-Page/content/Definitions/Rational Cauchy Sequences.md
2025-03-01 14:26:36 +01:00

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# Definition
They are sequences $\{ x_{n} \subset \mathbb{Q} \}$ such that
$$\forall k \in \mathbb{N} \; \exists N \in \mathbb{N}$$
Such that
$$|x_{m} - x_{n}| \lt \frac{1}{k}, \; \forall m, n \gt N.$$