Evaluating Limits Analytically

Hi, I'm new to the forum and this is my first post. Right now I'm trying to cram in limits, derivates, and application of derivatives in 2 weeks to prepare for next semester. I got credit for AP Calc AB so I'm only exempt from one semester of calculus.

Anyways, I've been having trouble with the following problems, so I would appreciate if you guys could help out.

Find the limit (if it exists).

1) Limit as x tends to 2 for __(X^3)-8__

X-2

2) Limit as x tends to -4 __ (X+4)ln(X+6)__

(X^2)-16

3) Limit as x tends to 0 __Root(x+5) - Root(5)__

x

4) Limit as x tends to 4 __Root(X+5) -3__

X-4

5) Limit as x tends to -3 from the left X

Root X^2 - 9

I've attempted the questions, but somehow got the answers of 1) DNE 2) ln2/-8 3) positive infinity 4) DNE

Of course, my answers were wrong.

Thank you!