Let $f\left(x\right)=\sin \left(\frac{\pi }{6}\sin \left(\frac{\pi }{2}\sin x\right)\right)\forall x\in R$  and  $g\left(x\right)=\frac{\pi }{2}\sin x\forall x\in R$ then match the following

Column – I		Column – II
A)	Range of $f\left(x\right)$  is	P)	$[-\frac{1}{2},\frac{1}{2}]$
B)	Range of $fog\left(x\right)$  is	Q)	$[0,1]$
C)	$\underset{x\to 0}{Lt}\frac{f\left(x\right)}{g\left(x\right)}$ lies in	R)	$[-1,0]$
D)	The equation $gof\left(x\right)=1$  has a solution in the set	S)	$[0,2]$
		T)	Null set