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Difference between revisions of "Leibniz series"

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The alternating series
 
The alternating series
 
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\begin{equation}

Revision as of 11:51, 12 December 2012


The alternating series \begin{equation} 1-\frac13+\frac15-\frac17+\dots, \end{equation} which converges to $\pi/4$. It was considered by G. Leibniz in 1673–1674.

References

[a1] K. Knopp, "Theorie und Anwendung der unendlichen Reihen" , Springer (1964) (English translation: Blackie, 1951 & Dover, reprint, 1990)
How to Cite This Entry:
Leibniz series. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Leibniz_series&oldid=29174
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article