Tuesday 29 August 2017

Does series $sum _{n=1}^{infty :}lnleft(frac{nleft(n+2right)}{left(n+1right)^2}right)$ converge?

Does series
$\sum _{n=2}^{\infty \:}\ln\left(\frac{n\left(n+2\right)}{\left(n+1\right)^2}\right)$ converge?



My idea is to apply the Cauchy test, but I dont know how to simplify it next.




Thanks

-

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}...