## Overview

In this session we see how L’Hospital’s rule is used and how it is related to quadratic approximation. Finally, we learn what other limits L’Hospital’s rule can be applied to.

## Lecture Video and Notes

### Video Excerpts

Clip 1: Limit of sin(5x)/sin(2x)

Clip 2: Repeating L'Hospital's Rule

Clip 3: Comparison With Approximation

Clip 4: Extensions of L'Hospital's Rule

## Worked Example

Limits at Inﬁnity for e^{x}/x and x/e^{x}