Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Limits
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

What is a limit modules

Overview

After completing this section, students should be able to do the following.

  • Consider values of a function at inputs approaching a given point.
  • Understand the concept of a limit.
  • Use limits to understand local behavior of functions.
  • Calculate limits from a graph (or state that the limit does not exist).
  • Understand possible issues when estimating limits using nearby values.
  • Define a one-sided limit.
  • Explain the relationship between one-sided and two-sided limits.
  • Distinguish between limit values and function values.
  • Identify when a limit does not exist.
  • Define continuity in terms of limits.
  • Use the continuity of famous functions (on their domains) when computing limits.

Stars and functions

Ximera Module

Two young mathematicians discuss stars and functions.

Continuity

Ximera Module

The limit of a continuous function at a point is equal to the value of the function at that point.