3. (2pt) Let Xn be i.i.d. random variables, such that X₂ = e with probability 1/2 and Xn with probability 1/2. Compute (in any form you can) lim (X1X2X)¹/√ n→∞ Hint. Is there a way to reduce multiplication to addition? = 19 Formally this means that there exists an integer k (which might be 0), such that p(0) ≤ p(1) ≤. ≤ p(k) > p(k+1)p(k + 2) ≥ ....

Fig: 1