At the graph of a function shows an open circle at the point

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

Problem

x=3

the graph of a function

y=f(x)

shows an open circle at the point

(3,5)

, while the curve approaches height

5

from both sides and no other point is plotted on the line

x=3

. What kind of discontinuity does

f

have at

x=3

? (a)

\text{Infinite discontinuity}

(b)

\text{Jump discontinuity}

(c)

\text{Removable (point) discontinuity}

(d)

\text{The function is continuous at }x=3