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Right/left hand limit as x approaches to 0

  1. Jan 8, 2009 #1
    1. The problem statement, all variables and given/known data
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    2. Relevant equations

    I trying to figure out if how will you know if which of the following h(x) will be the right/left hand limit as x approaches to 0, as x approaches to 1, as x approaches to 2? I'm confused... please help

    3. The attempt at a solution
    I really don't have any idea
     
  2. jcsd
  3. Jan 8, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Re: limit

    To the left of 0, f(x) is identical to x. Do you know how to do [itex]lim_{x\rightarrow 0} x[/itex]? If so, that is exactly [itex]lim_{x\rightarrow 0^-} f(x)[/itex].

    Just to the right of 0, f(x) is identical to x2 and so the "limit from the right", [itex]\lim_{x\rightarrow 0^+} f(x)[/itex] is the same as [itex]\lim_{x\rightarrow 0} x^2[/itex].
     
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