Let

$$f$($x$)$equals$=$left brace Start $2$ By $2$ Matrix $1$st Row $1$st Column $16$ minus x squared,$2$nd Column for x less than or equals $02$nd Row $1$st Column $16$ plus x squared,$2$nd Column for x greater than $0$ EndMatrix

$16$x$2,$for$$x$016+$x$2,$for$$x$>0$

$.$

Find each limit$.$

$($A$)$ ModifyingBelow lim With x right arrow $0$ Superscript plus f left parenthesis x right parenthesislimx$0+$f$($x$)$

$($B$)$ ModifyingBelow lim With x right arrow $0$ Superscript minus f left parenthesis x right parenthesislimx$0$f$($x$)$

left parenthesis Upper C right parenthesis ModifyingBelow lim With x right arrow $0$ f left parenthesis x right parenthesis$($C$)$lim$$x$0$f$($x$)$

left parenthesis Upper D right parenthesis f left parenthesis $0$ right parenthesis$($D$)$f$(0)$