Find the sum of the series to infinity \( \mathrm{P} \) \( \tan ^{-...

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Find the sum of the series to infinity
\( \mathrm{P} \)
\( \tan ^{-1} \frac{1}{1+1+1^{2}}+\tan ^{-1} \frac{1}{1+2+2^{2}} \)
W
\[
+\tan ^{-1} \frac{1}{1+3+3^{2}}+\ldots
\]
(1) \( \frac{\pi}{4} \)
(2) \( \frac{-\pi}{4} \)
(3) \( \frac{\pi}{2} \)
(4) \( \frac{-\pi}{2} \)
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