The value of sum \( \sum_{n=1}^{\infty} \tan ^{-1}\left(\frac{8 n}{...

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The value of sum \( \sum_{n=1}^{\infty} \tan ^{-1}\left(\frac{8 n}{n^{4}-2 n^{2}+5}\right) \) equals :
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(a) \( \tan ^{-1}(2) \)
(b) \( \cot ^{-1}(2) \)
(c) \( \cot ^{-1}(2)+\cot ^{-1}(3) \)
(d) \( \tan ^{-1}(2)+\cot ^{-1}(2) \)
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