1.

The smallest and the largest values of \[{{\tan }^{-1}}\left( \frac{1-x}{1+x} \right)\text{  },\,\,0\le x\le 1\]are

A. \[0,\,\,\pi \]
B. \[0,\,\frac{\pi }{4}\]
C. \[-\frac{\pi }{4},\frac{\pi }{4}\]
D. \[\frac{\pi }{4},\,\frac{\pi }{2}\]
Answer» C. \[-\frac{\pi }{4},\frac{\pi }{4}\]


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