Let {X1,X2, .} be a sequence of independent, identically distributed random variables each with the probability density function lf($)={2x...

Let {X1, X2, .......} be a sequence of iid random variables each of them has the following probability density function. Find a sequence of constants that is converges in distribution such that (see the attached picture for complete question)

Let {X1,X2, . . .} be a sequence of independent, identically distributed random variables eachwith the probability density function lf($)={2x if0<m<1 0 else Let Un be the second largest among {X1,X2, . . . 7Xn}. Find a sequence of constants {on} such thatcn(1 — U”) —> U in distribution as n —> 00 Where U is a random variable with a density f (u) and determine f (u)