# Bertrand criterion

From Encyclopedia of Mathematics

*of convergence of series with positive numbers as terms*

If

and if the limit (finite or infinite)

exists, then the series is convergent if and is divergent if . Established by J. Bertrand.

#### References

[1] | G.M. Fichtenholz, "Differential und Integralrechnung" , 1 , Deutsch. Verlag Wissenschaft. (1964) |

**How to Cite This Entry:**

Bertrand criterion.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Bertrand_criterion&oldid=16104

This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article