Solutions - 0210-01

$a_n$	${\lim }_{n\to \infty }{a}_n$	$\left\{a_n\right\}$ C or D	${\lim }_{n\to \infty }{(-1)}^n{a}_n$	$\left\{{(-1)}^n{a}_n\right\}$ C or D	$\sum a_n$ AC, CC, or D	$\sum {(-1)}^n{a}_n$ AC, CC, or D
${\displaystyle \frac{1}{n+2}}$	0	$C$	0	$C$	$D$	$CC$
${\displaystyle \frac{n}{n+2}}$	1	$C$	$DNE$	$D$	$D$	$D$
${\displaystyle \frac{1}{n^2+2}}$	0	$C$	0	$C$	$AC$	$AC$
${\displaystyle \frac{4}{2^n}}$	0	$C$	0	$C$	$AC$	$AC$
${\displaystyle \frac{4n}{2^n}}$	0	$C$	0	$C$	$AC$	$AC$