Question

lim of |x-2|/(x-2) as x approaches 2

Answer 1

Are you trying to find the limit analytically or will numerical approximation suffice?

(graphing shows the answer quite readily)

Answer 2

as x approaches 2

Answer 3

uh huh, . . . so analytically or numerically?

If you just need an answer without showing your work, you can look at the graph or reason your way through it logically.