AP®︎ Calculus BC: Topic 1.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.3 of AP Calculus BC – Estimating Limit Values from Graphs.

Questions List

Topic 1.3

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Question 1 Easy

Which of the following describes the values of xx used in lim⁡x→4−f(x)\lim_{x\to 4^-} f(x)?

AValues of xx near 44 for which f(x)f(x) is less than the limit.
BNegative values of xx, getting closer and closer to −4-4.
CValues of xx greater than 44, getting closer and closer to 44.
DValues of xx less than 44, getting closer and closer to 44.

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 1.3: Estimating Limit Values from Graphs

Learning Objective: LIM-1.C

Estimate limits of functions.

Essential Knowledge: LIM-1.C.1

The concept of a limit includes one sided limits.

Essential Knowledge: LIM-1.C.2

Graphical information about a function can be used to estimate limits.

Essential Knowledge: LIM-1.C.3

Because of issues of scale, graphical representations of functions may miss important function behavior.

Essential Knowledge: LIM-1.C.4

A limit might not exist for some functions at particular values of x. Some ways that the limit might not exist are if the function is unbounded, if the function is oscillating near this value, or if the limit from the left does not equal the limit from the right. Illustrative examples: lim (x→0) 1/x^2 = ∞; lim (x→0) |x|/x does not exist; lim (x→0) sin(1/x) does not exist; lim (x→0) 1/x does not exist.

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