Evaluate $\displaystyle\lim_{x o 2} \dfrac{x^2 - 4}{x - 2}$.

Question

Evaluate $\displaystyle\lim_{x 	o 2} \dfrac{x^2 - 4}{x - 2}$.

Accepted Answer

B. $4$

Factor the numerator: $x^2 - 4 = (x-2)(x+2)$. Cancelling, $\dfrac{(x-2)(x+2)}{x-2} = x + 2$ for $x 
eq 2$. Limit = $4$.
Option D is the trap if you stop at the $0/0$ form without factoring.

Answer

The limit does not exist

Answer

$2$

Answer

$0$

Evaluate $\displaystyle\lim_{x \to 2} \dfrac{x^2 - 4}{x - 2}$.