1. 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.

2. $\lim_{x\nearrow 0}\frac{|x|}{[x+1]}$

Is that right?

3. 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.

4. 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]?