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!}

Final Answer


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

Solution

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