Need help with Calculus questions (Test Tommorow)

Hey guys, I am having some difficulty with a couple of Calculus questions on my review. For the most part I feel pretty confident, but these four have been bothering me. (Also I can't types these symbols the way they are supposed to be.)

1. lim as x approaches infinite (sqrt(x^2 - 9)) / 2x - 6

(I am having trouble simplifying this equation to find the limit of f(x).)

2. lim as x approaches 1 ((1/x-1) + (1/x^2-3x+2))

(Same issue, having trouble simplifying this equation.)

These last two are Intermediate Value Theorem questions.

1. 2x^3 + x^2 + 2 = 0 (-2, -1)

2. e^ -x^2 = x (0, 1)

Any help or feedback would be appreciated, thanks.