8) Mean Value Theorem

Question 1

What is L’Hopital’s Rule

Answer 1

Suppose that f and g are both differentiable and g′(x) ≠ 0 on some deleted neighbourhood of a. Then if f(a) = g(a) = 0 and limx→a f ‘(x)/g′(x) exists, we have that limx→a f(x)/g(x) exists
and

Question 2

Describe the Proof of L’Hopitals Rule

Answer 2