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Let f(x)=x/(1+x^n)^(1/n), x in RR-{-1}, ...

Let `f(x)=x/(1+x^n)^(1/n), x in RR-{-1}, n in NN , n gt 2`
If `f^n(x)=(fofof . . .` upto n times)(x), then `lim_(x to oo) int_0^1 x^(n-2) (f^n(x))dx` is equal to _______

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