Find the limit L$.$

lim$$x$5($x $+8)$

L $=$

Use the $-$ definition to prove that the limit is L$.$

Given $>0$:

assume $|$f$($x$)$ L$|<,$ then$$

$($x $+8)$

$<$

x $$

$<$

Let $=.$

If $0<$

x $$

$<$ when $=,$ you have$$

x $$

$<$

$($x $+8)$

$<|$f$($x$)$ L$|<.$