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If $\sum_{r = 1}^{\infty} \tan^{- 1} \frac{1}{2 r^{2}} = t,$ then tan $t$ is equal to

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Correct option is B

∑r=1∞ tan−1⁡12r2=∑1∞ tan−1⁡(2r+1)−tan−1⁡(2r−1)=tan−1⁡3−tan−1⁡1+tan−1⁡5−tan−1⁡3+…=π/2−π/4=π/4

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If ∑r=1∞ tan−1⁡12r2=t, then tan t is equal to

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If $\sum_{r = 1}^{\infty} \tan^{- 1} \frac{1}{2 r^{2}} = t,$ then tan $t$ is equal to