Question

If f is a function such that the limit as x approaches a f(x)-f(a)/ x-a = 7 , then which of the following statements must be true?

Answer 1

a. f(a) = 7
b. f(x) is continuous at x = 7
c. the linear approximation for f(x) at x = a is 7
d. f '(a) = 7