I need help with calculus please!

Question

If f(x) is discontinuous, determine the reason.

Options:

1. f(x) is continuous for all real numbers
2. The limit as x approaches 1 does not exist
3. f(1) does not equal the limit as x approaches 1
4. f(1) is not defined

Answer 1

The only possible point of discontinuity is x=1 and, in fact, x is continuous there.