AP®︎ Calculus BC: Topic 4.7 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.7 of AP Calculus BC – Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms.

Questions List

Topic 4.7

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Question 1 Easy

Functions ff and gg satisfy lim⁡x→af(x)=0\lim_{x\to a}f(x)=0 and lim⁡x→ag(x)=0\lim_{x\to a}g(x)=0.

Which of the following could be true?

I. lim⁡x→af(x)g(x)=0\displaystyle\lim_{x\to a}\frac{f(x)}{g(x)}=0

II. lim⁡x→af(x)g(x)=5\displaystyle\lim_{x\to a}\frac{f(x)}{g(x)}=5

III. lim⁡x→af(x)g(x)=∞\displaystyle\lim_{x\to a}\frac{f(x)}{g(x)}=\infty

AI only
BIII only
CI and II only
DI, II, and III

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 4.7: Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms

Learning Objective: LIM-4.A

Determine limits of functions that result in indeterminate forms.

Essential Knowledge: LIM-4.A.1

When the ratio of two functions tends to 0/0 or ∞/∞ in the limit, such forms are said to be indeterminate. Exclusion: There are many other indeterminate forms, such as , for example, but these will not be assessed on either the AP Calculus AB or BC Exam. However, teachers may include these topics, if time permits.

Essential Knowledge: LIM-4.A.2

Limits of the indeterminate forms 0/0 or ∞/∞ may be evaluated using L’Hospital’s Rule.

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