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

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