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Math Help - Limits problem

  1. #1
    Junior Member
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    Limits problem

    Hey, I was having trouble figuring out why the limit does not exist on this problem. ( don't know how to show everything so just bare with me )


    The numerator is supposed to be absolute value, the denominator is supposed to be greatest possible integer equal to or less than brackets.

    lim x /x// [[ x + 1]]
    x-> 0(from the left)

    Thanks.
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  2. #2
    MHF Contributor red_dog's Avatar
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    \lim_{x\nearrow 0}\frac{|x|}{[x+1]}

    Is that right?
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  3. #3
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    yeah except it approaches from the left

    and the denominator is supposed to be the brackets that say the number must be the greatest possible integer less than or equal to the number.
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  4. #4
    MHF Contributor

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    Yes, that was what Red Dog had (the upward angled arrow means "going upward to 0"- from the left.

    Since you are taking 0 from the left x must be between -1 and 0.

    What is |1/2|/[1/2+ 1]? |.01|/[1.01]?
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