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

AP Calculus ABhardmcq1 pt

What is $\displaystyle\lim_{x\to 0}\dfrac{1-\cos x}{x^2}$ ?

A.

\dfrac{1}{2}

B.

0

C.

\dfrac{1}{4}

D.

2

Explanation

Core Concept

Two applications of L'Hôpital's rule give $\dfrac{\sin x}{2x}\to\dfrac{\cos x}{2}\to\dfrac{1}{2}$ .

Correct Answer

A $\dfrac{1}{2}$

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