Consider the function

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

Problem

h(x)=\dfrac{|x-2|}{x-2}

. Which statement correctly describes the continuity of

h

x=2

? (a)

h

is continuous at

x=2

. (b)

h

has a jump discontinuity at

x=2

. (c)

h

has a removable discontinuity at

x=2

. (d)

h

has an infinite (essential) discontinuity at

x=2