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Question Number 76354 by mathmax by abdo last updated on 26/Dec/19
calculate Σ_(n=1) ^∞ (−1)^n  arctan((1/(n^2  +n)))
$${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(−\mathrm{1}\right)^{{n}} \:{arctan}\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:+{n}}\right) \\ $$

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