 Lesson Plan: Limits at Infinity | Nagwa Lesson Plan: Limits at Infinity | Nagwa

# Lesson Plan: Limits at Infinity Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to evaluate limits of a function when 𝑥 tends to infinity.

#### Objectives

Students will be able to

• understand that the limit of can take some finite value as approaches positive or negative infinity,
• conceptually relate limits at infinity to horizontal asymptotes,
• understand that the laws of limits still apply for limits at positive or negative infinity,
• understand how to manipulate and evaluate limits using the fact that the limit of a reciprocal function as approaches positive or negative infinity is equal to 0,
• find the limit of a function as approaches positive or negative infinity.

#### Prerequisites

Students should already be familiar with

• horizontal and vertical asymptotes,
• one-sided and normal limits,
• laws of limits,
• finding limits by direct substitution,
• finding limits using algebraic techniques (where direct substitution leads to an indeterminate form),
• unbounded limits.

#### Exclusions

Students will not cover

• cases of oscillating behavior,
• L’Hopital’s rule.