Question

ap calc help!!! will state question

Answer 1

let f be function such that lim h->0 \[\frac{ f(7+h)-f(7)}{ h }\] =4. which of the following must be true?

Answer 2

I. f is continuos at x=7

Answer 3

II f is differentiable at x=7

Answer 4

III. the derivative of f is continuous at x=7

Answer 5

the answer is I and II i just need to know why