Wednesday 25 November 2015

calculus - Find $lim_{ntoinfty}frac{leftlfloor frac{n+1}{2} rightrfloor!}{n!}$

Find
$$\lim_{n\to\infty}\frac{\left\lfloor \dfrac{n+1}{2} \right\rfloor!}{n!}$$



I tried Stirling's formula but I seem to get nowhere. How should I proceed?

-

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

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}...