If f is a function such that limx→2 {[f(x)−f(2)]\(x−2)=0} which of the following must be true? A. The limit of f(x) as x approaches 2 does not exist B. f is not defined at x = 2 C. The derivative of f at x = 2 is 0 D. f is continuous at x = 0 E. f(2) = 0 which of the following must be true? A. The limit of f(x) as x approaches 2 does not exist B. f is not defined at x = 2 C. The derivative of f at x = 2 is 0 D. f is continuous at x = 0 E. f(2) = 0

Question

If f is a function such that  limx→2 {[f(x)−f(2)]\(x−2)=0}  which of the following must be true?  A. The limit of f(x) as x approaches 2 does not exist B. f is not defined at x = 2 C. The derivative of f at x = 2 is 0 D. f is continuous at x = 0 E. f(2) = 0 which of the following must be true? A. The limit of f(x) as x approaches 2 does not exist B. f is not defined at x = 2 C. The derivative of f at x = 2 is 0 D. f is continuous at x = 0 E. f(2) = 0