Which statement best describes when the limit exists?

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

Problem

Which statement best describes when the limit

\displaystyle \lim_{x\to c} f(x)

exists? (a) It exists whenever

f(c)

is defined. (b) It exists if and only if

f(x)

approaches the same finite value from both sides of

c

. (c) It exists whenever both one–sided limits exist, even if they are unequal. (d) It exists only when

f(x)

is continuous at

x=c