Which statement best characterizes a removable discontinuity of a real-valued…

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

Problem

Which statement best characterizes a removable discontinuity of a real-valued function at

x=c

? (a) Both one-sided limits exist and are equal, and the function value at

x=c

equals that common limit. (b) The limit as

x\to c

is infinite, indicating a vertical asymptote at

x=c

.},{ (c) The two-sided limit as

x\to c

exists and is finite, but

f(c)

is either undefined or not equal to that limit. (d) The left-hand and right-hand limits differ at

x=c

, even though

f(c)

is defined.