# L'Hôpital's Rule

If or , where **f** and **g** are differentiable and exists, this limit coincides with .

To apply the **L'Hôpital's rule, **there must be a limit in the form , where **a** can be a number or infinite, and have the indeterminate forms:

#### Examples

### Infinity Minus Infinity

For the indeterminate form of **infinity minus infinity**, the fractions put themselves into a common denominator.

### Zero Times Infinity

The indeterminate form of **zero times infinity** is transformed as follows:

### Indeterminate Forms

In the indeterminate forms **zero to the power of zero**, **infinity to the power of zero ** and **one to the power of infinity**; make the following transformations: