I am wondering if someone can give me some help on this problem.

Let $\displaystyle X_1, X_2,$ ... be i.i.d. and$\displaystyle X_{(n)} = max_{1 \le i \le n}X_i$. If $\displaystyle X_i ~ Beta (1, \beta)$, find a value $\displaystyle v$ so that

$\displaystyle n^v(1 - X_{(n)})$ converges in distribution.

I think it has to do with order statistics but I could be comletely off the right track.

Thanks for your time!