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

AP Calculus ABmediummcq1 pt

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

A.

0

B.

1

C.

e

D.does not exist

Explanation

Core Concept

The form is $\dfrac{0}{0}$ , so L'Hôpital's rule applies. Differentiating gives $\dfrac{e^x}{1}$ , which approaches $e^0=1$ .

Correct Answer

B $1$

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