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Leibniz Formula For Pi: Proof

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e^{i \<b>pi</b>} + 1 = 0.
This <b>formula</b>, the
<b>Leibniz's formula</b> converges
However, the <b>Leibniz formula</b>
I do not know of any <b>proof</b> for
\scriptstyle \<b>pi</b>^2/6 .
\scriptstyle \<b>pi</b> \approx
\int_0^\<b>pi</b> \sin^nx dx

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