Find the range of \( f(x)=\tan ^{-1}\left(2 x-x^{2}\right) \)....

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Find the range of \( f(x)=\tan ^{-1}\left(2 x-x^{2}\right) \)
(1) \( \left(-\frac{\pi}{2}, \frac{\pi}{4}\right] \)
(2) \( \left[\frac{\pi}{4}, \frac{\pi}{2}\right) \)
\( \mathrm{P} \)
(3) \( \left[\frac{-\pi}{4}, \frac{\pi}{4}\right] \)
(4) None of these


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