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.
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.
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.
Students will not cover
- the epsilon–delta definition of a limit,
- the definition of continuity,
- the definition of differentiability.