Answer
See the proof below.
Work Step by Step
We have $$ |7x-4-10| = |7x-14| =7|x-2|.$$
Since $|7x-4 − 10| $ is a multiple of $|x-2|$, then $|7x-4 − 10| $ is small whenever $ x $ is close to $2$. Hence, we get $$ \lim_{x\rightarrow 2}7x-4=10.$$
