Practice Problem Set: Series Convergence Tests
Practice problems covering the major AP Calculus BC series convergence tests, including geometric, divergence, integral, comparison, limit comparison, alternating, ratio, and root tests.
Practice Problem Set: Power Series and Intervals of Convergence
Practice power series and intervals of convergence with AP Calculus AB & BC problems covering radius of convergence, endpoint testing, and interval notation.
Mixed Review: Infinite Sequences and Series
A mixed review of infinite sequences and series for AP Calculus BC, including convergence tests, power series, Taylor and Maclaurin series, approximation, and error bounds.
Manipulating Known Series to Find New Series
Learn how to manipulate known power series using substitution, multiplication, differentiation, and integration to find new series for AP Calculus AB & BC.
Maclaurin Series for Common Functions
Learn the most important Maclaurin series for AP Calculus BC, including e^x, sine, cosine, geometric series, and logarithmic series, with worked examples.
Limit Comparison Test for Convergence
Learn how to use the Limit Comparison Test to determine whether an infinite series converges or diverges, with step-by-step examples for AP Calculus BC.
Introduction to Power Series
An introduction to power series, including sigma notation, radius and interval of convergence, and how power series represent functions for AP Calculus BC.
Integral Test for Convergence
Learn how to use the Integral Test to determine whether an infinite series converges or diverges, with a step-by-step method and fully worked AP Calculus examples.
Harmonic Series and p-Series
Understand the harmonic series and p-series, including the p-series convergence rule, the harmonic series, and how to recognize when a series converges or diverges in AP Calculus BC.
Differentiating and Integrating Power Series
Learn how to differentiate and integrate power series term by term, including how the radius and interval of convergence change. Fully worked AP Calculus BC examples.