Lesson Plan: Limits and Asymptotic Behavior Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use limits to understand the asymptotic behavior of functions.
Objectives
Students will be able to
- understand horizontal asymptotes of a curve as lines of the form with , for any ,
- understand vertical asymptotes of a curve as lines of the form with , for any .
Prerequisites
Students should already be familiar with
- the concepts of vertical and horizontal asymptotes,
- one-sided limits,
- unbounded limits,
- limits at infinity.
Exclusions
Students will not cover
- continuity and discontinuity,
- classifying discontinuities.