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
How does the L'Hôpital's Rule Calculator work?
Free L'Hôpital's Rule Calculator - This lesson walks you through L'Hôpitals's Rule including the definition, pronunciation, notation, and examples
What 1 formula is used for the L'Hôpital's Rule Calculator?
- limx → c ƒ(x)/g(x) = limx → c ƒ'(x)/g'(x)
For more math formulas, check out our
Formula Dossier
What 8 concepts are covered in the L'Hôpital's Rule Calculator?
- constant
- a value that always assumes the same value independent of how its parameters are varied
- derivative
- rate at which the value y of the function changes with respect to the change of the variable x
- exponent
- The power to raise a number
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - function
- relation between a set of inputs and permissible outputs
ƒ(x) - limit
- the value that a function (or sequence) approaches as the input (or index) approaches some valu
- power
- how many times to use the number in a multiplication
- variable
- Alphabetic character representing a number
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