If the statement is always true, explain why. If not, give a

Last updated: 8/12/2022

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-0 Choose 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-0 X→0 OB. O D. X The statement is not always true. For example, if f(x) = x² X - 1 The statement is not always true. For example, if f(x) = X OC. The statement is always true. It is always the case that lim f(x) = f(c). X-C 1 1 then lim f(x) = 0 but f(0) does not exist. X→0 then lim f(x) = 0 but f(0) does not exist. X-0