Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:alsoKnownAs |
ratio test
|
| gptkbp:appliesTo |
infinite series
series with complex terms series with positive terms |
| gptkbp:category |
mathematical analysis
|
| gptkbp:criteria |
If limsup |a_{n+1}/a_n| > 1, the series diverges
If limsup |a_{n+1}/a_n| < 1, the series converges absolutely If limsup |a_{n+1}/a_n| = 1, the test is inconclusive |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:firstPublished |
1768
|
| https://www.w3.org/2000/01/rdf-schema#label |
D'Alembert's ratio test
|
| gptkbp:namedAfter |
gptkb:Jean_le_Rond_d'Alembert
|
| gptkbp:relatedTo |
gptkb:Cauchy_condensation_test
root test |
| gptkbp:usedFor |
testing convergence of series
|
| gptkbp:bfsParent |
gptkb:Kummer's_criterion
|
| gptkbp:bfsLayer |
8
|