Calculus Series - Concepts and Formulas™
Infinite Series 3 - Power Series (CLS-CF10)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering various types of power series and associated techniques. Each concept is explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet answers questions about how to use the concepts - how to actually solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Power series
• The center of a power series
• The interval of convergence
• The radius of convergence
• How to calculate products of power series
• Cauchy products
• How to calculate quotients of power series
• How to differentiate and integrate of power series
• How to calculate the Taylor series at an abscissa
• Maclaurin series
• The nth degree Taylor polynomial
• How to calculate the error of the nth degree Taylor polynomial
• Binomial series
• Binomial coefficients
• Some common Taylor and Maclaurin series