Mathematics

Problem

Consider the function

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