Evaluate the following limits without using a calculator. Enter DNE if the limit does not exist.

(a) $\displaystyle \lim_{x \to - 6^{+}} (x+2) \frac{|x+6|}{x+6} =$ .

(b) $\displaystyle \lim_{x \to - 6^{-}} (x+6) \frac{x+2}{|x+6|} =$ .

(c) $\displaystyle \lim_{x \to - 6} (x+2) \frac{x+6}{|x+6|} =$ .