ecall that

$|$x $+8|=$

x $+8$x $8($x $+8)$x $<8.$

Therefore, we will need to check the limits when approaching from the left and from the right.

We will start by checking the limit when approaching from the left. As x approaches

$8$

from the left, we have

lim$$x$8$

$3$x $+24|$x $+8|$

$=$lim$$x$8$

$3$x $+24$

$3$

$.$