Pre Calculus

Which ONE choice below {A,B,C,D,E} accurately describes the behavior of the function

f(x) = (x^2 - 4)/|x - 2| at x = 2.

A) f is continuous at x = 2.
B) f has a removable discontinuity at x = 2.
C) f has an infinite discontinuity at x = 2.
D) f has a jump discontinuity at x = 2.
E) f has both an infinite and a removable discontinuity at x = 2.