Author:
Ohio Open Ed Collaborative
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

    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.