AP®︎ Calculus AB: 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 AB – Connecting Limits at Infinity and Horizontal Asymptotes.

Questions List

Topic 1.15

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Question 1 Easy

Which statement describes what lim⁡x→∞f(x)=5\lim_{x\to\infty} f(x)=5 means?

AAs xx decreases without bound, the values of f(x)f(x) get arbitrarily close to 5.
BFor all sufficiently large xx, the values of f(x)f(x) are equal to 5.
CAs xx approaches 5, the values of f(x)f(x) increase without bound.
DAs xx increases without bound, the values of f(x)f(x) get arbitrarily close to 5.

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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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