Raabe's test

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematics
gptkbp:alternativeName gptkb:Raabe–Duhamel_test
gptkbp:appliesTo infinite series
gptkbp:category convergence tests
gptkbp:field gptkb:mathematics
analysis
gptkbp:firstPublished 1832
gptkbp:form If lim n→∞ n((a_n)/(a_{n+1}) - 1) = R, then the series ∑a_n converges if R > 1 and diverges if R < 1.
https://www.w3.org/2000/01/rdf-schema#label Raabe's test
gptkbp:namedAfter gptkb:Joseph_Ludwig_Raabe
gptkbp:relatedTo ratio test
root test
gptkbp:usedFor convergence of series
gptkbp:bfsParent gptkb:Kummer's_test
gptkbp:bfsLayer 6