Question

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


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

Answer 1

notice how
\[\frac{f(x) -f(a)}{x-a} \] looks similar to the slope formula

Answer 2

so f'(a) = 7?

Answer 3

@sooobored

Answer 4

yes

Answer 5

okay perfect thank you