Thursday, 8 November 2018

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.


No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...