Lesson Plan: Limits and Asymptotic Behavior | Nagwa Lesson Plan: Limits and Asymptotic Behavior | Nagwa

Lesson Plan: Limits and Asymptotic Behavior Mathematics • Higher Education

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 𝑦=𝑓(𝑥) as lines of the form 𝑦=𝛼 with lim𝑓(𝑥)=𝛼, for any 𝛼,
  • understand vertical asymptotes of a curve 𝑦=𝑓(𝑥) as lines of the form 𝑥=𝑎 with lim𝑓(𝑥)=, for any 𝛼.

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.

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