Consider the function

g$($x$)=$

$$

$$

ax $+3$b x $0$

x$2+4$a $$ b $0<$ x $20$

$4$x $5$b x $>20$

$.$

$($A$)$ Find

lim

x$0$

g$($x$)=$ lim

x$0$

filllllll $=$ filllllll and lim

x$0+$

g$($x$)=$ lim

x$0+$

filllllll $=$ filllllll