Let $f(x)=\frac{x}{\left(1+x^n\right)^{\frac{1}{n}}}, x \in R-\{-1\}, n \in N, n>2$. If $f^n(x)=$ (fofof ..... upto $n$ times) ( $x$ ), then $\operatorname{Lim}_{n \rightarrow \infty} \int_0^1 x^{n-2}\left(f^n(x)\right) d x$ is equal to $\_\_\_\_$
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