L'Hôpital's Pronunciation:
We pronounce this as Lo-pital
L'Hopital's Rule Definition:
The limit of a quotient
equals
limit of derivative of quotients.
We use L'Hôpital's Rule for:
indeterminate limits of quotients
0/0, or ∞/∞
L'Hopital's Rule Notation:
lim
x → c ƒ(x)/g(x) = lim
x → c ƒ'(x)/g'(x)
L'Hopital's Rule Example:
Taking the limit as x goes to 3:
Since the limit is indeterminate
we can use L'Hôpital's Rule
Taking the limit as x goes to 3:
limx → 3 ƒ'(x)/g'(x) = 108
Other Resources:
limit of a function lessonderivative calculator