AP®︎ Calculus AB: Topic 1.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.2 of AP Calculus AB – Defining Limits and Using Limit Notation.


Questions List

Topic 1.2

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

Question 1 Easy

Which statement describes the meaning of lim⁡x→cf(x)=R\lim_{x\to c} f(x)=R?

AThe function has output cc at input RR; that is, f(R)=cf(R)=c.
BThe function has output RR at input cc; that is, f(c)=Rf(c)=R.
CThe values of f(x)f(x) can be made as close to RR as we like by taking xx close enough to cc, with x≠cx\ne c.
DThe values of xx can be made as close to RR as we like by taking f(x)f(x) close enough to cc.

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 1.2: Defining Limits and Using Limit Notation

Learning Objective: LIM-1.A

Represent limits analytically using correct notation.

Essential Knowledge: LIM-1.A.1

Given a function f, the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c). If the limit exists and is a real number, then the common notation is lim_{x→c} f(x) = R. Exclusion: The epsilon-delta definition of a limit is not assessed on the AP Calculus AB or BC Exam. However, teachers may include this topic in the course if time permits.

Learning Objective: LIM-1.B

Interpret limits expressed in analytic notation.

Essential Knowledge: LIM-1.B.1

A limit can be expressed in multiple ways, including graphically, numerically, and analytically.