AP Calculus ABmediummcq1 pt
If lim(x→a) f(x) exists, then:
A.f(a) must exist
B.The left and right limits must be equal
C.f(x) must be continuous at x = a
D.f'(a) must exist
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
BThe left and right limits must be equal
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