Leibniz series
From HandWiki
This category corresponds roughly to MSC {{{id}}} {{{title}}}; see {{{id}}} at MathSciNet and {{{id}}} at zbMATH.
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
| [1] | K. Knopp, "Theorie und Anwendung der unendlichen Reihen" , Springer (1964) (English translation: Blackie, 1951 & Dover, reprint, 1990) |
 |  |
