Answer
See the proof below.
Work Step by Step
We have
$$ |5x+2-17| = |5x-15| =5|x-3|$$
Since $|5x+2− 17| $ is a multiple of $|x-3|$, then $|5x+2− 17| $ is small whenever $ x $ is sufficiently close to $3 $. Hence, we get $$ \lim _{x \rightarrow 3} 5x+2 =17.$$
