$$f$($x$)$equals$=$StartFraction $5$ x minus $10$ Over left parenthesis x minus $10$ right parenthesis squared EndFraction$5$x$10($x$10)2$

$($A$)$

ModifyingBelow lim With x right arrow $10$ Superscript minuslimx$10$f$($x$)$

$($B$)$

ModifyingBelow lim With x right arrow $10$ Superscript pluslimx$10+$f$($x$)$

$($C$)$

ModifyingBelow lim With x right arrow $10$ nbsplimx$10$f$($x$)$

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 $10$ Superscript minuslimx$10$f$($x$)$equals$=$enter your response here

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

B$.$

The limit does not exist.

Part $2$

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

A$.$

ModifyingBelow lim With x right arrow $10$ Superscript pluslimx$10+$f$($x$)$equals$=$enter your response here

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

B$.$

The limit does not exist.

Part $3$

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

A$.$

ModifyingBelow lim With x right arrow $10$ nbsplimx$10$f$($x$)$equals$=$enter your response here

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

B$.$

The limit does not exist.