Calculus

Question

if f is a function such that the limit as x approaches (a=alpha) of [f(x) - f(a)]/ (x-a) = 0, which of the following must be true A. limit as x approaches alpha(a) f(x) does not exist B. f(a) does not exist C. f '(a) = 0 D. f(a)= 0 E. F9x) is continuous at x = 0

Answer

The limit expression in the question is the definition of the derivative. Therefore, the correct answer is C, that the derivative at x=a is 0. http://vrd.askvrd.org/services/answerschema.xml