Master Infinite Series: Convergence Tests For Calculus 2
 

Master the p-test, geometric series, ratio test, root test, comparison tests, alternating series, and more.
What you'll learn
Determine convergence or divergence using the most common Infinite Series tests.
Identify which convergence test applies based on term behavior and structure.
Compare growth rates of powers, exponentials, factorials, and logarithms.
Apply key strategies to evaluate and classify the behavior of infinite series.
Master Telescoping and Partial Sums
Master the Integral Test
Master the basic limits and laws of exponents required for infinite series
Learn how to know exactly what test and when to apply it.
Master the Test for Divergence and the P-Test
Master the Limit Comparison Test and the Direct Comparison Test
Master the Root Test and the Ration Test
Requirements
A basic understanding of Calculus 1, including limits, derivatives, and integrals
A willingness to practice, repeat key ideas, and engage actively with examples
No prior experience with infinite series is necessary - this course starts with the fundamentals
No programming experience needed
Description
Course Description: Infinite Series Mastery - Convergence Tests for Calculus 2Struggling to choose the right convergence test for an infinite series? This course is your complete step-by-step guide to mastering series convergence in Calculus 2, whether you're preparing for a university course, AP Calculus BC, or just want to finally understand this difficult topic.You'll learn how to confidently apply every major test for convergence, including: The Test for Divergence (TFD) The p-Test for power series Geometric Series (including closed-form sums) Direct & Limit Comparison Tests (DCT & LCT) Ratio Test and Root Test (perfect for factorials and exponentials) Integral Test (linking series to improper integrals) Alternating Series Test (AST) Conditional vs. Absolute Convergence Telescoping Series Mixed Sample Problems and StrategyThis course doesn't just throw formulas at you. You'll build real intuition, spot growth patterns, and learn exactly which test to use and why - something most textbooks and professors don't clearly teach.What you'll get:Crystal-clear whiteboard lectures from an experienced university professorDownloadable PDF slides for each lessonPractice problems with fully worked solutionsA structured system for choosing the right test on examsVisual and verbal cues to connect formulas with real understandingThis is part of the Calculus 2 Mastery Series by Brian M. Woody - university lecturer turned private professor to high-level students across the world.Whether you're reviewing for an exam or learning this for the first time, this is the Infinite Series course you wish you had all along.
Who this course is for
Students currently enrolled in Calculus 2 or preparing for the AP Calculus BC exam
College or high school learners struggling with Infinite Series concepts
Homeschoolers or independent learners seeking clear, structured instruction
Anyone needing a deeper understanding of convergence/divergence tests
Learners who want to master foundational tools like the p-test, geometric series, comparison tests, ratio/root/integral tests, and more
Students preparing for university placement exams or engineering/science prerequisites
Visual and repetition-based learners who benefit from step-by-step explanations and structured examples