Limits and Continuity
Understanding limits, continuity, and the foundations of calculus
All Topics in Limits and Continuity
What is a Limit?
An intuitive introduction to the concept of limits in calculus
Limit Notation and Terminology
Master the formal notation and vocabulary used when working with limits
Estimating Limits from Tables
Learn to estimate limit values by examining tables of function values
Estimating Limits from Graphs
Visualize limit behavior by reading and interpreting function graphs
One-Sided Limits in Detail
Understanding left-hand and right-hand limits and when they matter
Direct Substitution Method
The simplest limit technique: when you can just plug in the value
Factoring Method for Limits
Use factoring to simplify and evaluate limits with indeterminate forms
Rationalizing to Evaluate Limits
Use conjugate multiplication to handle limits with radicals
Limits at Infinity
Understanding what happens as x grows without bound
Infinite Limits and Vertical Asymptotes
When functions shoot off to infinity at a specific point
What is Continuity?
Understanding when a function is continuous at a point
Types of Discontinuity
Classifying the different ways a function can be discontinuous