calculate-the-limit-of-fx-xx-as-x-approaches-0-from-both-sides-is-the-function-c

Question

Calculate the limit of f(x) = |x|/x as x approaches 0 from both sides. Is the function continuous at x = 0?

Accepted Answer

The limit from the left is -1, and from the right is 1. The function is discontinuous at x = 0.

Answer

The limit from the left is 1, and from the right is -1. The function is continuous at x = 0.

Answer

The limit from both sides is 1. The function is continuous at x = 0.

Answer

The limit from both sides is 0. The function is continuous at x = 0.