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Math Help - One Sided Limits

  1. #1
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    Exclamation One Sided Limits

    Sketch the graph of the given function and find the indicated limits if it exists
    1)  f(x)=x^2 if x \leq 2 ,  f(x)=8-2x , if x > 2
    2)  f(x)=x^2-1 if x < 2 , f(x)=2-x if  x\geq 2

    Attempt:
    I have sketched the graph and determined that
    1)The limits exists
    2)Limits doesn't exist

    Am i correct or no ?

    Thank you
    Last edited by mj.alawami; October 14th 2009 at 02:02 AM.
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  2. #2
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    Quote Originally Posted by mj.alawami View Post
    Sketch the graph of the given function and find the indicated limits if it exists
    1)  f(x)=x^2 if x \leq 2 ,  f(x)=8-2x , if x > 2
    2)  f(x)=x^2-1 if x < 2 , f(x)=2-x if  x\geq 2

    Attempt:
    I have sketched the graph and determined that
    1)The limits exists
    2)Limits doesn't exist

    Am i correct or no ?

    Thank you
    If in each case you mean limit as x --> 2 then yes, you are correct.
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