IIT JEE INTEGRALS Let `f: RvecR` be a continuous odd function, which vanishes exactly at one poin...

Let `f: RvecR`
be a continuous odd function, which vanishes exactly at one point and `f(1)=1/2dot`
Suppose that
`F(x)=int_(-1)^xf(t)dtfora l lx in [-1,2]a n dG(x)=int_(-1)^x t|f(f(t))|dtfora l lx in [-1,2]dotIf(lim)_(xvec1)(F(x))/(G(x))=1/(14),`

Then the value of `f(1/2)`
is

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