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Suppose y=|x|/x

  1. Feb 13, 2014 #1
    Suppose y=|x|/x

    I know it is a jump discontinuity but how is the point of discontinuity x=0??
    ImageUploadedByPhysics Forums1392327443.441033.jpg
  2. jcsd
  3. Feb 13, 2014 #2


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    Homework Helper

    $$\lim_{x\rightarrow 0^-}\frac{| x |}{x} \ne \lim_{x\rightarrow 0^+}\frac{| x |}{x}$$
  4. Feb 13, 2014 #3


    Staff: Mentor

    Your graph clearly shows that this function is discontinuous at x = 0.
  5. Feb 13, 2014 #4
    What bothers you about that? Do you think the discontinuity should be somewhere else? Are you bothered about ##\frac00##? Answers to these might help uncover your misconception.
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