Thursday, June 16, 2016

calculus - Find the limit of exponent/factorial sequence










I don't know how to even stoke it...




$$ \lim_{n\to \infty } \frac{2^n}{n!} = $$


Answer



HINT



Prove that $$0 < \dfrac{2^n}{n!} \leq \dfrac4n$$ for all $n \in \mathbb{Z}^+$ using induction and then use squeeze theorem.


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