Question

If f is a function such that the limit as x approaches a of the quotient of the quantity f of x minus f of a and the quantity x minus a equals 7 , then which of the following statements must be true?

Answer 1

f'(a) = 7

Explanation:

The definition of derivative is :

the limit as x approaches a =
`(f(x)-f(a))/(x-a)`

Therefore, the derivative of this equation is 7.

Answer 2

Answer: f'(a) = 7 is the true statement

Explanation:

f(x)-f(a)] /(x-a) = 7 as x------>a

is the definition of the derivative

f'(a) = 7