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Point of Discontinuity

  1. Aug 31, 2009 #1
    What is the point of discontinuity?

    ex. does x3+x/x have a point of discontinuity at x=0? if there is a discontiuity, is it it removable or not
     
  2. jcsd
  3. Aug 31, 2009 #2

    Mark44

    Staff: Mentor

    I'm assuming you mean (x3 + x)/x rather than x3 + (x/x).

    Yes, there is a discontinuity at x = 0. The discontinuity is removable if the limit of this function as x approaches 0 exists and is finite.
     
  4. Sep 1, 2009 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Actually, the answer is the same whether it is [itex](x^3+ x)/x[/itex] or [itex]x^3+ (x/x)[/itex].

    More important than the answer is whether or not you UNDERSTAND the answer. disneychannel, do you see the difference between the functions [itex]f(x)= (x^3+ x)/x[/itex] and [itex]g(x)= x^2+ 1[/itex]. What do you get when you graph each one?
     
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