Which of the following best describes a removable discontinuity of a function at ?

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

Problem

Which of the following best describes a removable discontinuity of a function

f

x=a

? (a)

f

is defined at

x=a

, but

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

does not exist. (b)

f(a)

equals

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

, but

f

is not differentiable at

x=a

. (c)

f

is not defined at

x=a

, but

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

exists and is finite. (d)

f

approaches

\pm\infty

x\to a

, so the discontinuity can be removed by redefining

f(a)