# Raabe criterion

From Encyclopedia of Mathematics

*on the convergence of a series of numbers*

A series converges if for sufficiently large the inequality

is fulfilled. If from some onwards, then the series diverges.

Proved by J. Raabe

#### Comments

#### References

[a1] | K. Knopp, "Theorie und Anwendung der unendlichen Reihen" , Springer (1964) (English translation: Blackie, 1951 & Dover, reprint, 1990) |

**How to Cite This Entry:**

Raabe criterion.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Raabe_criterion&oldid=12025

This article was adapted from an original article by E.G. Sobolevskaya (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article