AP®︎ Calculus BC: 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 BC – Defining Limits and Using Limit Notation.


Questions List

Topic 1.2

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

Question 1 Easy

Figure

The graph of the function ff is shown. What is lim⁡x→2f(x)\lim_{x\to2} f(x)?

A22
B00
C33
Ddoes not exist

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 1.2: 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.

Essential Knowledge: LIM-1.B.1

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