Find the following limit or state that it does not exist.

ModifyingBelow lim With x right arrow $4$ StartFraction StartRoot x EndRoot minus $2$ Over x minus $4$ EndFractionlimx$4$x$2$x$4$

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Part $1$

Simplify the given limit$.$

ModifyingBelow lim With x right arrow $4$ StartFraction StartRoot x EndRoot minus $2$ Over x minus $4$ EndFractionlimx$4$x$2$x$4$equals$=$ModifyingBelow lim With x right arrow $4$ left parenthesis nothing right parenthesislimx$4$enter your response here

$($Simplify your$$ answer.$)$

Part $2$

Evaluate the$$ limit$,$ if possible. Select the correct choice below$$ and, if$$ necessary, fill in the answer box to complete your choice.

A$.$

ModifyingBelow lim With x right arrow $4$ StartFraction StartRoot x EndRoot minus $2$ Over x minus $4$ EndFractionlimx$4$x$2$x$4$equals$=$enter your response here

$($Type an exact$$ answer.$)$

B$.$

The limit does not exist.