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Q 1225812761.     A circular arc PQ of radius 1  subtends on angle of x radians, 0 < x < π as shown in the adjacent figure. The point R is the Intersection of the two tangent lines at points P and Q of the arc.O is the centre of the circle from which the arc is cut. Let us define the following functions as function of x:
S ( x ) = area of the sector OPQ

T ( x ) = area of the triangle PQR

U ( x ) = area of the shaded region

.The value of the limit  lim_(x→0^+) (U(x))/(T(x)) =

A

2/3

B

3/2

C

1

D

1/2

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