Let

$$f$($x$)$equals$=$left brace Start $3$ By $2$ Matrix $1$st Row $1$st Column x minus $12$nd Column if x less than $22$nd Row $1$st Column $12$nd Column if $2$ less than or equals x less than or equals $83$rd Row $1$st Column x plus $32$nd Column if x greater than $8$ EndMatrix

x$1$if$$x$<21$if$2$x$8$x$+3$if$$x$>8$

$.$

a$.$ Find

ModifyingBelow lim With x right arrow $2$limx$2$f$($x$).$

$$b$.$ Find

ModifyingBelow lim With x right arrow $8$limx$8$f$($x$).$

Question content area bottom

Part $1$

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

A$.$

ModifyingBelow lim With x right arrow $2$limx$2$f$($x$)$equals$=$enter your response here

B$.$

The limit is not

minus$$infinity

or

infinity

and does not exist.

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

A$.$

ModifyingBelow lim With x right arrow $8$limx$8$f$($x$)$equals$=$enter your response here

B$.$

The limit is not

minus$$infinity

or

infinity

and does not exist.