Notice again that the actual value of the function at 3 is not relevant to finding the limit
In this case, limx →3- f(x) = f(c), but lim x →3+ f(x) does not equal f(c). Also, because the limits are different from the left and from the right, the two-sided limit limx →3 f(x) does not exist. Specifically, we can write:
limx →3- f(x) =5
limx →3+ f(x) = 2
limx →3 f(x) does not exist