Limit of the signum (sgn) function?

Question

What is the lim x -> 0 of the absolute value | sgn (x) |

I know it's not zero or none. Is it one?

FYI : sgn (x) = 1 if x > 0, 0 if x = 0, and -1 if x < 0.

Answer 1

Fairly confident it is just one. The limit of a function as it approaches point 'a' (in this case 0) exists only if the right hand and the left hand limit exist and are equal. In this case, because of the absolute value, the right and the left hand limit as x -> 0 is 1, so the limit is 1.

Answer 2

| sgn(x) | = 1 unless x = 0. Since we are only interested in the limit and not the value of the function at x = 0, the limit is 1.

Answer 3

Signum X