\( \sum_{n=1}^{\infty} \tan ^{-1} \frac{4 n}{n^{4}-2 n^{2}+2} \) is equal to: (a) \( \tan ^{-1} ...

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\( \sum_{n=1}^{\infty} \tan ^{-1} \frac{4 n}{n^{4}-2 n^{2}+2} \) is equal to:
(a) \( \tan ^{-1} 2+\tan ^{-1} 3 \)
(b) \( 4 \tan ^{-1} 1 \)
(c) \( \pi / 2 \)
(d) \( \sec ^{-1}(-\sqrt{2}) \)
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