A graph of a function shows that as approaches from either side

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

Problem

A graph of a function

g

shows that as

x

approaches

2

from either side, the

y

-values approach

3

. The point

(2,3)

is an open circle, while the point

(2,5)

is filled in. Which type of discontinuity occurs at

x=2

? (a) Jump discontinuity (b) No discontinuity; the function is continuous at

x=2