please solve the following question and include explanation. ( ignore the answer shown in the picture, as it is just the automatic answer (may be correct or false)

Given that f(x) is continuous at x = a, which of the following are true? V lim f(x) = f(a?) f(x) may be undefined at a. O When x / a, then f(x) # f(a). lim f() may not exist. O None of the above