AP®︎ Calculus BC: Topic 1.15 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.15 of AP Calculus BC – Connecting Limits at Infinity and Horizontal Asymptotes.

Questions List

Topic 1.15

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Question 1 Easy

Which of the following best describes the meaning of lim⁡x→∞f(x)=5\lim_{x\to\infty} f(x) = 5?

Af(x)f(x) equals 5 when xx equals infinity; that is, f(∞)=5f(\infty)=5.
Bf(x)f(x) can be made as close to 5 as we like by taking xx sufficiently large.
Cf(x)f(x) equals 5 for at least one sufficiently large value of xx.
Df(x)f(x) can be made as close to 5 as we like by taking xx sufficiently close to 0.

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 1.15: Connecting Limits at Infinity and Horizontal Asymptotes

Learning Objective: LIM-2.D

Interpret the behavior of functions using limits involving infinity.

Essential Knowledge: LIM-2.D.3

The concept of a limit can be extended to include limits at infinity.

Essential Knowledge: LIM-2.D.4

Limits at infinity describe end behavior.

Essential Knowledge: LIM-2.D.5

Relative magnitudes of functions and their rates of change can be compared using limits.

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