Question

Evaluate: $\underset{x\to 10}{lim}\frac{x^2-100}{x-10}$

• A. $10$
• B. $-5$
• C. $20$
• D. $5$

Answer 1

The correct option is C $20$

$\underset{x\to 10}{lim}\frac{x^2-100}{x-10}$

$\underset{x\to 10}{lim}\frac{(x-10)(x+10)}{x-10}$
$\underset{x\to 10}{lim}x+10$
$=10+10=20$