But the solution says it's negative. Why is it negative? Is it just because the limit is going to negative infinity? So every time I take a limit going to negative infinity, should I just make my answer negative?
Well, looking at the function as a whole: we'd be taking very large negative values of x. So the denominator would become a very large negative and the numerator will always be positive. Is this the reason why? Or is there a process during taking the limit when you change signs somewhere?