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Continuity of abs(f)

  1. Apr 30, 2008 #1
    Give an example of a function f which is discontinuous at 0 yet abs(f ) is continuous at 0

    i have tried for an hour or so trying to think of one, even hints would be helpful
  2. jcsd
  3. Apr 30, 2008 #2


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    I can think of a very trivial example... sort of like a step function.
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