Determine whether the statement is true or false, and explain why. For the limit of f(x) as x-a to exist, the limit from the left and the limit from the right must both exist and be the same. Choose the correct answer below. O A. This statement is true because it is part of the definition of the existence of a limit. O B. This statement is false because the limit from the left and the limit from the right could both be infinity or both be negative infinity, so while the one-sided limits do not exist, the two-sided limit exists. C. This statement is false because one of the limits could be infinity while the other is negative infinity, so while the one-sided limits exist, the two-sided limit does not exist. O D. This statement is false because f(x) must also be defined at x = a