Given:
$\displaystyle A_n = \frac{16^{n/2}}{2^{2n}}$
Determine:
(a) whether $\displaystyle \sum_{n=1}^\infty( A_n )$ is convergent.
(b) whether $\lbrace A_n \rbrace$is convergent.
If convergent, enter the limit of convergence. If not, enter "DIV" (unquoted).