Question

$\underset{x\to -3}{lim}\frac{|2x-6|}{2x-6}$ is_____

• A. 1
• B. -1
• C. 0
• D. $\infty$

Answer 1

Answer: (B)

-1

As $x\to -3$ ,
$\Rightarrow |2x-6|=-(2x-6)$
So, $\Rightarrow \underset{x\to -3}{lim}\frac{|2x-6|}{2x-6}\Rightarrow \underset{x\to -3}{lim}\frac{-(2x-6)}{2x-6}\Rightarrow \underset{x\to -3}{lim}\frac{-1}{1}=-1$