What Is A Limit?

Limits help us understand how functions behave as they approach a certain point.

Conceptual Idea

This section introduces the concept of limits in calculus, explaining how to evaluate limits numerically and graphically.

Evaluating Limits From A Table

This section introduces the method of evaluating limits using numerical tables to understand the behavior of functions approaching specific values.

Evaluating Limits Graphically

This section teaches how to evaluate limits graphically by examining a function's behavior as it approaches a given point from both sides.

Algebraic Evaluation Of Limits

The section focuses on algebraic techniques for evaluating limits, including direct substitution and handling indeterminate forms.

Direct Substitution

This section introduces the concept of limits in calculus and explains how to evaluate limits using direct substitution, tables, and graphs.

Indeterminate Forms

Indeterminate forms arise when limits are evaluated, leading to uncertain results that require further analysis.

One-Sided Limits

The concept of one-sided limits focuses on evaluating the behavior of functions as they approach a specific point from either the left or the right side.

Infinite Limits

Infinite limits describe the behavior of a function as it approaches infinity or negative infinity, indicating unbounded growth.

When Limits Do Not Exist (Dne)

This section explores scenarios in calculus when limits do not exist (DNE), providing foundational understanding for students about the behavior of functions.

Summary

Limits form the foundation of calculus, helping determine the behavior of functions as they approach specific points.

Practice Questions

This section provides essential practice questions that help reinforce the understanding of limits in calculus.