For a function defined on an open interval containing

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For a function

f(x)

defined on an open interval containing

x=a

, the limit

\lim_{x\to a}f(x)

exists when (a) both the left-hand and right-hand limits at

x=a

exist (equality not required) (b) both the left-hand limit and the right-hand limit at

x=a

exist and are equal (c)

f(a)

is defined and equals either the left-hand or the right-hand limit (d) the function

f

is continuous at

x=a