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[" Let "f:R rarr R" be a continuous odd ...

[" Let "f:R rarr R" be a continuous odd function,which vanishes exactly at one point and "f(1)=(1)/(2)" ."],[" Suppose that "F(x)=int_(-1)^(1)f(t)dt" for all "x in[-1,2]" and "G(x)=int_(-1)^(x)t|f(f(t))|dt" for all "x in[-1,2]." If "],[lim_(x rarr0)(F(x))/(G(x))=(1)/(14)," then the value of "f((1)/(2))" is "quad " (JEE-Advanced "2015)]

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