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

  • Thread starter jennaskim
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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?
 

Answers and Replies

  • #2
Ray Vickson
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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?

Show you work so far.

RGV
 
  • #3
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Well i tried graphing it..........but I STILL DON'T UNDERSTAND
 
  • #4
Ray Vickson
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Well i tried graphing it..........but I STILL DON'T UNDERSTAND

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

RGV
 
  • #5
tiny-tim
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Well i tried graphing it..........but I STILL DON'T UNDERSTAND

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
 
  • #6
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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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