Limits Involving Absolute Value Functions
How to evaluate limits involving absolute value functions, including piecewise analysis, one-sided limits, and common AP Calculus mistakes.
Introduction to Limits: An Intuitive Approach
An intuitive introduction to limits for AP Calculus AB & BC, including numerical, graphical, and algebraic approaches with fully worked examples.
Exploring Types of Discontinuities
Learn how to identify removable, jump, and infinite discontinuities from graphs, tables, and functions with step-by-step AP Calculus examples.
Estimating Limits from Tables of Values
Learn how to estimate limits from tables of values in AP Calculus AB & BC, including two-sided limits, one-sided limits, numerical patterns, and common mistakes.
Determining Limits Using the Squeeze Theorem
Learn how to determine limits using the Squeeze Theorem, including how to find useful bounds and fully worked AP Calculus AB & BC examples.
Determining Limits Using Algebraic Properties
Learn how to determine limits using the algebraic properties of limits, including sums, differences, products, quotients, powers, and roots, with fully worked AP Calculus examples.
Determining Limits Using Algebraic Manipulation
A practical guide to determining limits using algebraic manipulation, including factoring, rationalizing, simplifying complex fractions, and fully worked AP Calculus AB & BC examples.
Defining Continuity at a Point
Learn how continuity at a point is defined, how to check the three conditions for continuity, and how to solve AP Calculus problems involving continuity.
Continuity of Composite Functions
Learn how to determine when composite functions are continuous, with the continuity theorem, step-by-step methods, and fully worked AP Calculus examples.
Connecting Multiple Representations of Limits
Learn how to connect graphical, numerical, algebraic, and verbal representations of limits, with step-by-step AP Calculus AB & BC examples and practice problems.