(A) Find the limit $\lim_{x \to 0^+} f(x)$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\lim_{x \to 0^+} f(x) = 2$ (Type an integer.)
B. The limit does not exist.
(B) Find the limit $\lim_{x \to 0^-} f(x)$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\lim_{x \to 0^-} f(x) = $ (Type an integer.)
B. The limit does not exist.