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If \[f(x)=\sin x-\frac{x}{2}\] is increasing function, then  [MP PET 1987]

A.            \[0<x<\frac{\pi }{3}\]
B.            \[-\frac{\pi }{3}<x<0\]
C.            \[-\frac{\pi }{3}<x<\frac{\pi }{3}\]
D.            \[x=\frac{\pi }{2}\]
Answer» D.            \[x=\frac{\pi }{2}\]


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