AP®︎ Calculus BC: Topic 1.7 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.7 of AP Calculus BC – Selecting Procedures for Determining Limits.

Questions List

Topic 1.7

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Question 1 Easy

To evaluate lim⁡x→3x2−9x2+x−12\displaystyle\lim_{x\to3}\frac{x^2-9}{x^2+x-12}, a student substitutes x=3x=3 and obtains the form 00\frac{0}{0}. Which of the following is the correct conclusion or next step?

AThe limit is 00.
BThe limit does not exist.
CFactor the numerator and denominator, divide out the common factor, and substitute again to determine the limit.
DCheck the signs on each side of 33 to decide whether the limit is ∞\infty or −∞-\infty.

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 1.7: Selecting Procedures for Determining Limits

Learning Objective: 1.7

This topic is intended to focus on the skill of selecting an appropriate procedure for determining limits. Students should be given opportunities to practice when and how to apply all learning objectives relating to determining limits.

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