AP®︎ Calculus AB: Topic 1.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.6 of AP Calculus AB – Determining Limits Using Algebraic Manipulation.


Questions List

Topic 1.6

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16

Question 1 Easy

The functions ff and gg are defined for all real numbers. Suppose g(x)=2x+1g(x)=2x+1, f(x)=g(x)f(x)=g(x) for all x≠3x\neq3, and f(3)=4f(3)=4. What is lim⁡x→3f(x)\lim_{x\to3}f(x)?

ADoes not exist, because f(3)≠g(3)f(3)\neq g(3).
B77
CCannot be determined, because no formula for ff is given.
D44

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 1.6: Determining Limits Using Algebraic Manipulation

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.1

It may be necessary or helpful to rearrange expressions into equivalent forms before evaluating limits. Illustrative examples: Factoring and dividing common factors of rational functions; Multiplying by an expression involving the conjugate of a sum or difference in order to simplify functions involving radicals; Using alternate forms of trigonometric functions