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Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2...

Let `f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}`

A

`x=0` is a point of local maxima

B

`2f(0)=1` has no real solution in`x in (0, oo)`

C

`f(x)` is increasing in `x in(2,pi)`

D

`f(x)` is increasing in `x in (0, (1)/(2))`

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The correct Answer is:
D
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