AP®︎ Calculus BC: Topic 1.8 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.8 of AP Calculus BC – Determining Limits Using the Squeeze Theorem.


Questions List

Topic 1.8

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9

Question 1 Easy

Suppose 1−x2≤f(x)≤1+x21-x^2\leq f(x)\leq 1+x^2 for all xx in an open interval containing 0. What is lim⁡x→0f(x)\lim_{x\to 0}f(x)?

A22
BIt cannot be determined, because a formula for f(x)f(x) is not given.
C11
D00

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 1.8: Determining Limits Using the Squeeze Theorem

Learning Objective: LIM-1.E

Determine the limits of functions using equivalent expressions for the function or the squeeze theorem.

Essential Knowledge: LIM-1.E.2

The limit of a function may be found by using the squeeze theorem. Illustrative examples: The squeeze theorem can be used to show lim_{x→0} (sin x)/x = 1 and lim_{x→0} (1 - cos x)/x = 0.