Question

Find the limit of $\underset{x\to 7^{+}}{\lim }\frac{|x-7|}{x-7}$

• A. -1
• B. 0
• C. 1
• D. cannot be determined

Answer 1

Answer: (C)

When $x>7,|x-7|=x-7$
$\therefore \underset{x\to 7^{+}}{\lim }\frac{|x-7|}{x-7}=\frac{x-7}{x-7}=1$