Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Suppose y=|x|/x
  1. Solve y=x^6 for x (Replies: 7)

  2. Integral of y=x^x (Replies: 4)

  3. Differentiating y=x^x (Replies: 2)