# Math Help - Series Convergence Test

1. ## Series Convergence Test

Does this series convergence?:

$\sum _{n=1}^\infty \frac{\arcsin \left(\frac{1}{n^2}\right)}{\arctan \left(\frac{1}{n^2}\right)}\$

2. $\lim _{n \to \infty } \frac{\arcsin \left(\frac{1}{n^2}\right)}{\arctan \left(\frac{1}{n^2}\right)}=?\$

3. Originally Posted by Plato
$\lim _{n \to \infty } \frac{\arcsin \left(\frac{1}{n^2}\right)}{\arctan \left(\frac{1}{n^2}\right)}=?\$
Thank You!.... I completely by passed the simplest test of them all!