Let $x_1,x_2,$dots,$x_n$ be a random sample of size $n$ from a distribution that has the p$.$d$.$f

$Y_1{Y}_{1}f(x)=e^{-(x-)},$

Let $Y_1$ denote the first order statistic $of$ the random sample mentioned above.

Find the $limiting$ distribution $of{Y}_1$