Question

Let f (x) = $\frac{x}{ (1+x ^n )^{\frac{1}{n} }}$, x∈R-{-1}, n∈N. n>2.
If fn (x) = (fofof____upto n times) (x), then $lim ∫^1_ {n→∞ 0} x^{n-2}$( f n(x))dx is equal to ___.

Answer 1

The correct answer is: 0