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Question Number 151956 by mathdanisur last updated on 24/Aug/21

$$\underset{\mathbf{n}\to \mathrm{\infty }}{\lim }\underset{\mathbf{k}=1}{\sum ^{\mathbf{n}}}\arctan \frac{1}{{2\mathrm{k}}^2}\arctan \frac{{2\mathrm{k}}^2-1}{{2\mathrm{k}}^2}=?$$

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