Select the statement that correctly describes a removable discontinuity of a function at .

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

Problem

Select the statement that correctly describes a removable discontinuity of a function

f

x=a

. (a)

\displaystyle\lim_{x\to a^-}f(x)\neq\lim_{x\to a^+}f(x)

, both limits being finite. (b)

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

exists but is not equal to

f(a)

f(a)

is undefined. (c)

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

. (d)

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

does not exist, but

f(a)\text{ is defined}