Problem #$3$: Consider again the sequence $\{a_n\}$ defined by $a_n=\frac{3^n}{n!}$ for $n1.$ Which of the following statements is$/$are TRUE?

$($i$)m=3$ is an upper bound for $\{a_n\}$

$($ii$)m=1$ is a lower bound for $\{a_n\}$

$($iii$)m=0$ is a lower bound for $\{a_n\}$

$($A$)($ii$)$ and $($iii$)$ only

$($B$)($ii$)$ only

$($C$)$ all of them

$($D$)($iii$)$ only

$($E$)($i$)$ only

$($F$)$ none of them

$($G$)($i$)$ and $($ii$)$ only $($H$)($i$)$ and $($iiii$)$ only

Problem $3$:

Select $V$

$$ Submit Problem $3$ for Grading

$\backslash$table$[[\backslash$table$[[$Problem $3,$Attempt $=1$