Which of the following is a correct statement about the limit of f(x) = 1/x as x approaches 0?

Core Concept

The limit of f(x) = 1/x as x approaches 0 does not exist since the function approaches different limits as x approaches 0 from the left and right. This is the primary reason why the limit does not exist. Options A and B are incorrect since the limit does not exist. Option D is incorrect since the limit approaches negative ∞ as x approaches 0 from the left and positive ∞ as x approaches 0 from the right.