These identities might be considered as true:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\begin{array}{rcl}

1 - 1 + 1 - 1 + \cdots & = & \frac{1}{2} \\

1 - 2 + 3 - 4 + \cdots & = & \frac{1}{4} \\

1 - 4 + 9 - 16 + \cdots & = & 0 \\

1 + 1 + 1 + 1 + \cdots & = & -\frac{1}{2} \\

1 + 2 + 3 + 4 + \cdots & = & -\frac{1}{12} \\

1 + 4 + 9 + 16 + \cdots & = & 0

\end{array}

[/tex]

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# Curious identities

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