Let

f left parenthesis x right parenthesis equals StartFraction x minus $8$ Over StartAbsoluteValue x minus $8$ EndAbsoluteValue EndFractionf$($x$)=$x$8$x$8.$

Find $$a$)$

ModifyingBelow lim With x right arrow $8$ Superscript plus f left parenthesis x right parenthesislimx$8+$f$($x$),$

$$b$)$

ModifyingBelow lim With x right arrow $8$ Superscript minus f left parenthesis x right parenthesislimx$8$f$($x$),$

$$c$)$

ModifyingBelow lim With x right arrow $8$ f left parenthesis x right parenthesislimx$8$f$($x$),$

and $$d$)$

f left parenthesis $8$ right parenthesisf$(8).$

Question content area bottom

Part $1$

$$a$)$ Select the correct choice below$$ and, if$$ necessary, fill in the answer box to complete your choice.

A$.$

ModifyingBelow lim With x right arrow $8$ Superscript plus f left parenthesis x right parenthesislimx$8+$f$($x$)$equals$=$enter your response here

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

B$.$

The limit does not exist.