1. You are given a set 7 = {71, 72,...,I'm} of numbers. Given 7, you compute a scalar quantity w= log _exp{BT:} where B > 0. What is lim w? Use L'Hopital's rule (or equivalent) to relate this limiting value to a property of the set T. You are allowed to assume that the elements 7, of the set are distinct numbers. Next, you compute a scalar quantity z = _k-1 exp BTil where B > 0. What is lim z? Relate this limiting value to a property of the set 7. You are again allowed to assume that the elements T of the set are distinct numbers