Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
gptkb:book_series
sequences |
| gptkbp:criteria |
convergence test
|
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy convergence test
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
Cauchy sequence
convergent series |
| gptkbp:state |
A series converges if and only if for every ε > 0, there exists N such that for all m > n ≥ N, the sum of terms from n+1 to m has absolute value less than ε.
|
| gptkbp:usedIn |
complex analysis
real analysis |
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|