$(26$ points$)$ Write the definition of the improper integral I and test if it is convergent or divergent. If it's convergent, find its value. If it's divergent, state if it diverges to $,-$ or neither $-.$

$I={\displaystyle \underset{4}{\overset{}{}}}\frac{e^{-\sqrt[\phantom{2}]{x}}}{\sqrt[\phantom{2}]{x}}dx$

$I=\frac{e^{-4}}{4}$

$($AFTER you write the definition, use a $u$ substitution$)$

$y=\sqrt[\phantom{2}]{x}$

Continue Problem $2$ on the next pag