# Math Help - Determine the boundedness

1. ## Determine the boundedness

Determine the boundness and monotonicity of the sequence $a_n$

$n^2/\sqrt{n^3+1}$

and

$(-2)^n/n^{10}$

to find the monotonicity, I know there are two ways i know, either show $a_{n+1}/a_n >1$ or show the derivative of the corresponding function is increasing or decreasing, but both way seem not working out.