If f(x)=lim⁡t→0[2xπ⋅tan⁡−1(xt2)]f(x) = \lim_{t \to 0} \left[ \frac{2x}{\pi} \cdot \tan^{-1} \left( \frac{x}{t^2} \right) \right]…

Problem

If f(x)=lim⁡t→0[2xπ⋅tan⁡−1(xt2)]f(x) = \lim_{t \to 0} \left[ \frac{2x}{\pi} \cdot \tan^{-1} \left( \frac{x}{t^2} \right) \right] , the f(1)f(1) is .....

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