Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
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Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
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Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
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Transcendental Functions
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15.Functions of Several Variables
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S = contains supplemental resources
Course: Calculus I
Topic: Limits and Continuity
Subtopic: Limits Algebraically

Overview

It is important to be able to evaluate limits graphically and numerically, but the primary approach is algebraically. The goal is to use algebraic methods to simplify the function, so that the x-value being approached can be plugged into the function producing the limit's result.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 1.3.1 Use correct mathematical notation throughout the process of evaluating a limit algebraically
• 1.3.2 Use a variety of algebraic methods to simplify and evaluate a limit
• 1.3.3 Algebraically evaluate a limit that is of the "0/0 case" including using factoring, reducing, rationalizing, or other algebraic manipulations as needed
• 1.3.4 Algebraically determine that a limit of a function does not exist

Terminology

Define: limit that is of the "0/0 case"

Text Notes

• Evaluating limits algebraically is big topic which will continue to be explored as this chapter continues including the following topics: limit theorems, limits involving trig functions, and limits involving exponential or logarithmic functions.
• This is an early transcendental course so be sure to try limit problems that involve trigonometric, exponential, and logarithmic functions, not just polynomial and rational.

Supplemental Resources (recommended)

Need a complete trig review sheet?