The sum \sum_\limits{n=1}^{\infty} \tan^{-1}\left(\dfrac{2}{n^2}\right) equals $\frac{π}{m}$ .Find $m$

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The sum \sum_\limits{n=1}^{\infty} \tan^{-1}\left(\dfrac{2}{n^2}\right) equals

\frac{π}{m}

.Find

m

14 mins ago

Discuss this question LIVE

14 mins ago

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Question Text

The sum \sum_\limits{n=1}^{\infty} \tan^{-1}\left(\dfrac{2}{n^2}\right) equals

\frac{π}{m}

.Find

m

Filo tutor solution