Apentix/AP Calculus AB/Ap calc ab u1/Question
AP Calculus ABmediummcq1 pt

The function f(x) = |x|/x has a discontinuity at x = 0.

A.A) This is the primary reason the limit of f(x) as x approaches 0 does not exist.
B.C) The function is continuous at x = 0.
C.B) The function is not defined at x = 0.
D.D) The limit of f(x) as x approaches 0 is 0.

Explanation

Core Concept

The function f(x) = |x|/x is not continuous at x = 0 because it is undefined at this point. The primary reason the limit of f(x) as x approaches 0 does not exist is that the function is discontinuous at this point. Options B and D are not supported by the data, as the function is undefined at x = 0 and the limit does not exist. Option C is incorrect because the function is not continuous at x = 0.

Correct Answer

A

Practice more AP Calculus AB questions with AI-powered explanations

Start Practicing on Apentix →
    The function f(x) = |x|/x has a discontinuity at x = 0. | Ap Calculus Ab | Apentix