convergent sequence (original) (raw)
The point x, if it exists, is unique, and is called the limit point or limit of the sequence. One can also say that the sequence x0,x1,x2,… converges to x.
A sequence is said to be divergent if it does not converge.
| Title | convergent sequence |
|---|---|
| Canonical name | ConvergentSequence |
| Date of creation | 2013-03-22 11:55:07 |
| Last modified on | 2013-03-22 11:55:07 |
| Owner | djao (24) |
| Last modified by | djao (24) |
| Numerical id | 10 |
| Author | djao (24) |
| Entry type | Definition |
| Classification | msc 54E35 |
| Classification | msc 40A05 |
| Related topic | AxiomOfAnalysis |
| Related topic | BolzanoWeierstrassTheorem |
| Related topic | Sequence |
| Defines | limit point |
| Defines | limit |
| Defines | converge |
| Defines | diverge |
| Defines | divergent sequence |