Evaluate the limit

$\underset{x{4}^{-}}{lim}(\frac{1}{x-4}-\frac{1}{|x-4|})$

Enter INF for $,-$INF for $-,$ or DNE if the limit does not exist $($i$.$e$.,$ there is no finite limit and neither $$ nor $-$ is the limit$).$

Limit $=$