AP Calculus ABmediummcq1 pt

If lim(x→a) f(x) exists, then:

A.f'(a) must exist

B.f(a) must exist

C.f(x) must be continuous at x = a

D.The left and right limits must be equal

Explanation

Core Concept

A limit exists at x = a if and only if the left-hand and right-hand limits both exist and are equal. The function value f(a) need not exist, and continuity is not required.

Correct Answer

DThe left and right limits must be equal

Practice more AP Calculus AB questions with AI-powered explanations

Practice Unit 1: Limits and Continuity Questions →