The function is

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The function

f(x) = |x| + \frac{|x|}{x}

is (a) Continuous at the origin (b) Discontinuous at the origin because

|x|

is discontinuous there (c) Discontinuous at the origin because

\frac{|x|}{x}

is discontinuous there (d) Discontinuous at the origin because both

|x|

and

\frac{|x|}{x}

are discontinuous there