Evaluate the limit $$\lim_{ x \rightarrow 2^{-} } \left(\frac{1}{x-2} - \frac{1}{|x-2|}\right)$$ Enter INF for $\infty$, -INF for $-\infty$, or DNE if the limit does not exist (i.e., there is no finite limit and neither $\infty$ nor $-\infty$ is the limit).

Limit =