Write the limiting distribution and representation (2.3.4) for the following situations:

(a) The density of the X’s is f (x)=2(x−1) for x ∈ [1,2];

(b) The density of the X’s is f (x)=3(2−x)² for x ∈ [1,2];

(c) The r.v. Xi = −ξi, i = 1,2, ..., where ξi are independent standard exponential r.v.’s.