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Find the points of discontinuity: f(x) = x + 1 , for x < 1 and 1/x for x ≥ 1?

  1. Oct 12, 2012 #1
    Find the points of discontinuity: f(x) = x + 1 , for x < 1 and 1/x for x ≥ 1?

    ^ supposed to be a piece-wise function.

    State whether f is left- or right-continuous at each point of discontinuity.




    I'm having difficulty figuring this out.... please help?
     
  2. jcsd
  3. Oct 12, 2012 #2

    Ray Vickson

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    Show you work so far.

    RGV
     
  4. Oct 12, 2012 #3
    Well i tried graphing it..........but I STILL DON'T UNDERSTAND
     
  5. Oct 12, 2012 #4

    Ray Vickson

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    Please explain exactly what you do not understand. We cannot guess about what is bothering you.

    RGV
     
  6. Oct 12, 2012 #5

    tiny-tim

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    jennaskim, either draw your graph, or describe it

    as Ray says, we need to see how far you've got, and what is confusing you
     
  7. Oct 12, 2012 #6

    Zondrina

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    You can start by considering these two limits :

    [tex]lim_{x→1^-} f(x)[/tex]

    and

    [tex]lim_{x→1^+} f(x)[/tex]

    What happens here?
     
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