How do I set this calculus problem up?

Question

the limit of the function does not exist.

lim f(x) ≠ lim f(x)
x => c- x => c+

what makes it a discontinuity and is it removable or not?

Answer 1

As both sides limits are different it is a discontinuity and it is not removable as you can´t give the function a value which is equal to a non existing limit