Let f be a non-negative function defined on the interval [0,1] and twice differential in (0 , 1). if

Let f be a non-negative function defined on the interval [0,1] and twice differential in (0 , 1). If int_0^x sqrt(1-(f\'(t))^(2))dt=int_0^x f(t)dt , 0 lexle1 and f(0)=0 then the value of lim_(x to0)int_0^xf(t)/x^2 dt is
. ∫
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