Let $Y=(Y_1,Y_2,...,Y_n)$ be the vector of order statistics for a random sample from the Pareto distribution with pdf $f(x)=(1+x)^{-2}, x\ge 0.$ Compute the limiting distribution for rv's $nY_1$ and $Y_n/n$ as $n \to \infty$.
So I tried finding cdf first and I got $F(x)=\int_o^x(1+x)^{-2}= \frac {x}{x+1}.$ But I'm not sure if the integration is correct.