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Math Help - Need help find left and right limits.

  1. #1
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    Need help find left and right limits.

    I need to find the left and right limit at x=1(if they exist)

    sqrt1-x^2

    I'm not sure where to begin with the sqaure root.



    Thanks
    Jason
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by Darkhrse99 View Post
    I need to find the left and right limit at x=1(if they exist)

    sqrt1-x^2

    I'm not sure where to begin with the sqaure root.



    Thanks
    Jason
    lim_{x\rightarrow 1^-} \sqrt{1-x^2}=0 I think this is clear

    lim_{x\rightarrow 1^+} \sqrt{1-x^2}=dose...not.....exist


    this dose not exist as you know square root of negative numbers undefined right when I take the limit of the function when x approach 1 from right it is like I take a value bigger than 1 just a littile like this 1.0000000000000000000000000000000001 so the value under the square root become negative and this not allow
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