Sequences, series, summability Sequences and limits Concept
Cauchy sequence
Summary
In a Cauchy sequence, any two terms with large enough indices are as near to each other as we wish. A metric space is complete when each Cauchy sequence in it converges, and the real numbers form a complete space. The node Cauchy sequence gives the precise definition.
Where this leads
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Further reading
- Web https://en.wikipedia.org/wiki/Cauchy_sequence, lead section
About this page
| Tag | 0PWX18FM4G |
|---|---|
| URI | m2://0PWX18FM4G |
| Kind | concept |
| Writing | W1 stated |
| MSC | 40A05 |
| Specializes | Bounded sequence |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.