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Let f: RR to RR be a continuous odd fun...

Let `f: RR to RR` be a continuous odd function, which vanishes exactly at one point and `f(1)=(1)/(2)`. Suppose that `F(x)=int(-1)^(x)f(t)dt` for all `x in[-1,2]` and
`G(x)=int_(-1)^(x)t|f(ft)|dt" for all "x in[-1,2]." If "underset(xto1)lim(F(x))/(G(x))=(1)/(14)` then the value of `f((1)/(2))` is-

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