Author:
Jim Fowler
Subject:
Calculus
Material Type:
Module
Level:
College / Upper Division
Provider:
Ohio Open Ed Collaborative
Tags:
  • Limit Laws
  • Squeeze Theorem
  • License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    eBook, Interactive

    Education Standards

    Limit Laws Modules

    Overview

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

    • Calculate limits using the limit laws.
    • Calculate limits by replacing a function with a continuous function that has the same limit.
    • Understand the Squeeze Theorem and how it can be used to find limit values.
    • Calculate limits using the Squeeze Theorem.

    Equal or not?

    Ximera Module

    Here we see a dialogue where students discuss combining limits with arithmetic.

    The Limit Laws

    The Squeeze Theorem

    Ximera Module

    The Squeeze theorem allows us to compute the limit of a difficult function by ``squeezing" it between two easy functions.