Let {Xi} be i.i.d. with E(Xi) = m ¹ 0, and Var(Xi) = s2. Obtain the probability limit and asymptotic

Question: Let {X_i} be i.i.d. with E(X_i) = m ¹ 0, and Var(X_i) = s².

Obtain the probability limit and asymptotic distribution of \[1/\bar{X}\].

Hint: When deriving the asymptotic distributions, first use Theorem 6.2.2 to find the asymptotic distribution of \[\bar{X}\] and then use Theorem 6.1.4.