Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Limits
Language:
English
Media Formats:
eBook, Interactive

# 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.

# What is a limit

## Ximera Module

We introduce limits.

# Continuity

## Ximera Module

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