If the statement is always true, explain why. If not, give a counterexample.If f is a function such that lim f(x) exists, then f(0) exists.X-0Choose the correct answer below.O A. The statement is always true. Although it is possible for f(0) to exist without lim f(x) existing, it is not possible for lim f(x) to exist without f(0) also existing.X-0X?0OB.O D.XThe statement is not always true. For example, if f(x) =x²X - 1The statement is not always true. For example, if f(x) =XOC. The statement is always true. It is always the case that lim f(x) = f(c).X-C11then lim f(x) = 0 but f(0) does not exist.X?0then lim f(x) = 0 but f(0) does not exist.X-0