# Lesson Plan: Existence of Limits Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine whether the limit of a function at a certain value exists.

#### Objectives

Students will be able to

• understand the conditions required for a one-sided limit to exist,
• understand the conditions required for a limit to exist,
• understand that equating a limit (or a one-sided limit) to infinity is a certain way of expressing that the limit does not exist,
• find the limit of a real function in cases where the limit does exist.

#### Prerequisites

Students should already be familiar with

• one-sided limits,
• vertical asymptotes,
• finding limits by direct substitution,
• finding limits using algebraic techniques, where direct substitution leads to an indeterminate form.

#### Exclusions

Students will not cover

• the epsilonâ€“delta definition of a limit,
• the definition of continuity,
• the definition of differentiability.