Sum of infinite terms of the series \( \mathrm{P} \) \( \cot ^{-1}\...

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Sum of infinite terms of the series
\( \mathrm{P} \) \( \cot ^{-1}\left(1^{2}+\frac{3}{4}\right)+\cot ^{-1}\left(2^{2}+\frac{3}{4}\right)+\cot ^{-1}\left(3^{2}+\frac{3}{4}\right)+\ldots \) is

W
(A) \( \frac{\pi}{4} \)
(B) \( \tan ^{-1}(2) \)
(C) \( \tan ^{-1} 3 \)
(D) None of these
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