The interval in which \( f(x)=\cot ^{-1} x+x \) increases, is (a) \( R \) (b) \( (0, \infty) \) ...

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The interval in which \( f(x)=\cot ^{-1} x+x \) increases, is
(a) \( R \)
(b) \( (0, \infty) \)
(c) \( R-\{n \pi\} \)
(d) None of these
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