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Cauchy sequence
Set
| $\langle X,d\rangle$ $\dots$ Metric space |
| $x\in \text{CauchySeq}(X) $ |
| $x\in \text{InfSequence}(X) $ |
| $\varepsilon\in \mathbb R,\ \varepsilon>0$ |
| $n,m,N\in\mathbb N$ |
| $\forall\varepsilon.\ \exists N.\ \forall (n,m>N).\ d(x_n,x_m)<\varepsilon$ |
Discussion
Reference
Wikipedia: Cauchy sequence
Parents
Requirements
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