At first, I needed help with this confusing math problem about limits, but then I looked at it differently and found the solutions I needed to continue.

1. \(\displaystyle \lim_{x \to 2^{-}}g(x) = \) 4

2. \(\displaystyle \lim_{x \to 2^{+}}g(x) =\) -2

3. \(\displaystyle \lim_{x \to 2}g(x) =\) DNE

4. \(\displaystyle \lim_{x \to 0}g(x) = \) DNE

5. \(\displaystyle g(2) =\) 3