Problem #$6$: Use the Comparison Theorem to determine which of the following integrals converge.

$($i$){\displaystyle \underset{1}{\overset{}{}}}\frac{arctanx}{e^{-x}}dx$

$($ii$){\displaystyle \underset{2}{\overset{}{}}}\frac{\sqrt[\phantom{2}]{x^4+2}}{x^3}dx$

$($iii$){\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}\frac{2+sinx}{x^{\frac{1}{2}}}dx$

$($A$)($iii$)$ only $($B$)($ii$)$ and $($iii$)$ only $($C$)($i$)$ only $($D$)($i$)$ and $($ii$)$ only $($E$)($i$)$ and $($iii$)$ only $($F$)$ all of them $($G$)$ none of them $($H$)($ii$)$ only

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$\backslash$table$[[$Problem #$6,$Attempt #$1,,],[$Your Answer:,$C,$Attempt #$2,$Attempt #$3],[$Your Mark:,$\frac{0}{2}x,\frac{0}{2}x,]]$