The limit is -1/2. , and . Here I am using ":" to mean "approximately equal."
You have already asked this before here:
http://www.mathhelpforum.com/math-he...ing-limit.html
Actually, I did make a mistake and I'm sorry about that. Regardless, you could've still pointed it out in the original thread.
The problem is when I multiplied by . I'll leave it to you to see what went wrong.
An alternative way to do this is to take x^2 and x common factor:
Since limit goes to negative infinity, absolute value of x is turned into -x. And I'm sure you can follow from there.