# Calculating Limit of Series – An exponential divided by factorial of n – Exercise 5557

Exercise

Find the limit

$$\lim _ { n \rightarrow \infty} \frac{\Pi_{k=1}^n 2^k}{n!}$$

$$\lim _ { n \rightarrow \infty}\frac{\Pi_{k=1}^n 2^k}{n!}=\infty$$