Category: L'Hopital's Rule

Indeterminate Form of the Type $$$\frac{0}{0}$$$

We have already talked about the indeterminate forms of the type $$$\frac{{0}}{{0}}$$$. We have studied the rational functions and performed algebraic manipulations to get rid of indetermination.

However, there are functions that are not rational but still have an indeterminate form of the type $$$\frac{{0}}{{0}}$$$.

Indeterminate Forms of Type $$$\frac{\infty}{\infty}$$$

Similarly there are limit of functions that represent indeterminate form of type $$$\frac{\infty}{\infty}$$$, but can't be calculated using algebraic manipulations.

However, there is corresponding L'Hopital's Rule that allows to handle indeterminate form of type $$$\frac{\infty}{\infty}$$$.

Other Indeterminate Forms

We already talked about other indeterminate forms (indeterminate differences, indeterminate products and indeterminate powers), so we know that we can convert them into either indeterminate form of type $$$\frac{{0}}{{0}}$$$ or indeterminate form of type $$$\frac{\infty}{\infty}$$$. This allows us to use either First or Second L'Hopital's Rules.