Which of the following best describes the condition under which a discontinuity of a…

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

Problem

Which of the following best describes the condition under which a discontinuity of a function

f

x=c

can be removed? (a) The two–sided limit

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

exists but is infinite. (b) The two–sided limit

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

exists and is finite. (c) The value

f(c)

exists even though the limit does not. (d) The derivative

f'(c)

exists.