The Ratio and Root Tests are indispensable tools for finding out whether a series converges or diverges. These tests also play a large role in determining the radius and interval of convergence for a series of functions. In this article, we will discuss how the Ratio and Root Tests work. In addition, you’ll see a […]

What is a geometric series? A series is the sum of the terms of a sequence. What makes the series geometric is that each term is a power of a constant base. For example, Each term in this series is a power of 1/2. Equivalently, each term is half of its predecessor. Whenever there is […]

This article reviews definitions and techniques for finding radius and interval of convergence of power series.

Taylor and Maclaurin series are like polynomials, except that there are infinitely many terms. Read on to find out what you need to know for the AP test!

Did you realize that there were different kinds of series convergence? In this review article, find out about absolute and conditional convergence.

A series is the sum of a sequence of numbers. We’ll review the series fundamentals and give a few example problems from the AP Calculus BC exam.

A series is the sum of infinitely many terms. But how can you add up an infinite number of things? Click here to learn about series convergence!

An alternating series is one in which the signs of the terms switch between positive and negative. So it’s important to know how to work with them.

Exponential functions show up on both the AP Calculus AB and BC exams. Here’s what you should know about them for the test!

What are inflection points, and how do you find them? This article explains what you need to know about inflection points for the AP Calculus exams.