How to use the Lebesgue Dominated Convergence theorem,
where $f_n(x) = \displaystyle\frac{nx^n}{1+x}$ and domain is [0,1].
I want to find $\lim_{n \to \infty}\int^1_0 f_n(x) dx$, I will use the Lebesgue Dominated Convergence theorem.
May be I think I must use integrate by part for finding solution...