Limits
Introduction to limits and continuity
Start with the basics and progress through 2 lessons. Each lesson builds on the previous one.
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Test Your Knowledge
10 questions, new mix each time (from 34)
In This Topic (2 lessons)
Introduction to Limits
Learn the foundational concept of limits and how they describe the behavior of functions as inputs approach specific values.
Limit Notation
Master the symbolic language of limits and learn how to read, write, and interpret limit expressions.
Limits describe the behavior of functions as inputs approach certain values. This foundational concept is the gateway to calculus, enabling the study of derivatives and integrals.
What You'll Learn
- Evaluate limits graphically
- Evaluate limits algebraically
- Understand one-sided limits
- Identify when limits do not exist
- Apply limit laws
Frequently Asked Questions
What is a limit?
The value a function approaches as x approaches a certain value. It describes behavior near a point, not at the point.
When does a limit not exist?
When left and right limits are different, or the function oscillates or goes to infinity.
What are the limit laws?
Limits of sums, differences, products, and quotients can be found from limits of individual functions (when they exist).