## 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:

lim_{x → 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?

- lim
_{x → c} ƒ(x)/g(x) = lim_{x → 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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