the $\underset{?}{lim}i{t}_n\frac{1}{2^n}=$

$($b$)0$

$($C$)-1$

$($d$.\frac{1}{2}$

The sequence $\frac{2}{n+3}$ is

@ increasing

$($b$)$ decrising

$($c$)$ mantomic

$($c$){}_0$ ans

$(3)$ Determine that the following sequences is Converges or divergos

$(1){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^3}$

$(7){\displaystyle \underset{m=1}{\overset{}{}}}sin(\frac{1}{n})$

$(2){\displaystyle \underset{n=1}{\overset{}{}}}{n}^{-\frac{1}{3}}$

$(8){\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^n\frac{4n}{4n-1}$

$(3){\displaystyle \underset{n=1}{\overset{}{}}}\frac{mnn}{n}$

$(4){\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{n^2+1}$

$(9){\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^{n}cos(\frac{}{n})$

$(10){\displaystyle \underset{n=1}{\overset{}{}}}n!x^n$

$(5){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{3^n+1}$

$(6){\displaystyle \underset{n=1}{\overset{}{}}}\frac{n^2}{n^3+1}$