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Bertrand criterion

From Encyclopedia of Mathematics
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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=29179
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article