Hi everyone

I coudnt have solved this problem, I hope you can give me some idea.

Let $\displaystyle E$ a measurable set and $\displaystyle f \in L_1(E)$, $\displaystyle f > 0$.

Prove that $\displaystyle \lim_{ n \rightarrow \infty} \int_E f^{1/n} d\mu = \mu(E) $.

Thanks

everk.