lim (1 + 3^–1) (1 + 3^–2) (1 + 3^–4)(1 + 3^–8)........ (1 + 3^-2n); n→∞ is equal to ​

Question

\(\lim\limits_{n\to \infty}\) (1 + 3^–1) (1 + 3^–2) (1 + 3^–4)(1 + 3^–8)........\((1 + 3^{-2^n})\) is equal to

a. 1

b. 1/2

c. 3/2

d. none of thes 

Answer 1

Correct option is c. 3/2