Apentix/AP Calculus AB/Unit 4: Contextual Applications of Differentiation/Question

AP Calculus ABmediummcq1 pt

What is $\displaystyle\lim_{x\to 2}\dfrac{x^2-4}{x-2}$ ?

A.

4

B.

0

C.

2

D.does not exist

Explanation

Core Concept

Factoring gives $\dfrac{(x-2)(x+2)}{x-2}=x+2$ , and the limit is $2+2=4$ . L'Hôpital's rule gives the same result: $\dfrac{2x}{1}\to 4$ .

Correct Answer

A $4$

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