Find the limits in $$a$),$ b$),$ and $$c$)$ below for the function

f left parenthesis x right parenthesis equals StartFraction $6$ x Over x minus $6$ EndFractionf$($x$)=6$xx$6.$

Use

minus$$infinity

and

infinity

when appropriate.

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Part $1$

$$a$)$ Select the correct choice below and fill in any answer boxes in your choice.

A$.$

ModifyingBelow lim With x right arrow $6$ Superscript minus f left parenthesis x right parenthesislimx$6$f$($x$)$equals$=$

$$

enter your response here

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

B$.$

The limit does not exist and is neither

minus$$infinity

nor

infinity$.$