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
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