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Math Help - Limits!!!!

  1. #1
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    Limits!!!!

    47. f(x)= {x^3 if x cant equal 1
    0 if x =1

    find lim x->1^- f(x) and lim x->1^+ f(x)


    Does lim x->1^ f(x) exist? If so, what is it? If not, why not?
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  2. #2
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    Re: Limits!!!!

    Is the function continuous at x=1?
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  3. #3
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    Re: Limits!!!!

    Quote Originally Posted by Kathrynm77 View Post
    47. f(x)= {x^3 if x cant equal 1
    0 if x =1
    find lim x->1^- f(x) and lim x->1^+ f(x)
    Does lim x->1^ f(x) exist? If so, what is it? If not, why not?
    \lim _{x \to 1^ -  } x^3  = \lim _{x \to 1^ +  } x^3  = 1 SO?
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  4. #4
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    Re: Limits!!!!

    Quote Originally Posted by Kathrynm77 View Post
    47. f(x)= {x^3 if x cant equal 1
    0 if x =1

    find lim x->1^- f(x) and lim x->1^+ f(x)
    Have you made any attempt at this at all? It's pretty close to trivial!


    Does lim x->1^ f(x) exist? If so, what is it? If not, why not?
    What do you mean by "lim x->1^ f(x)"? Just the limit itself? You don't need the "^" in that case.
    you should have learned that " \lim_{x\to a} f(x) exist if and only if both \lim_{x\to a^-} f(x) and \lim_{x\to a^+} f(x) exist and are the same".
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  5. #5
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    Re: Limits!!!!

    I have some video tutorials on limits on my youtube channel. the first video is at: . hope that helps.
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