What is L'Hospitals rule?

Question

I'm currently taking ap calc and I need help with some problems but keep seeing L'Hospitals rule described. My math teacher didn't teach us that so I'm wondering what it may be.

Answer 1

L'Hopital's rule states that:

lim_x→c f(x)/g(x) ₌ lim_x→c f'(x)/g'(x)

In short, the limit of the ratio of two functions is equal to the limit of the ratio of their derivatives (and, consequently, their second derivatives, third derivatives, etc).