PLEASE GIVE AN EXPLANATIONSHOW WORK i have the answer key b

PLEASE GIVE AN EXPLANATION/SHOW WORK !

i have the answer key, but i do not understand how the problem was solved.

Solution

x -> 0^- Therefore , x is slightly negative

Therefore , |x| = -x as x is negative

lim_{x-> 0-} (x - |x|) / x = x - (-x) / x

= 2x / x

= 2