Master Infinite Series: Convergence Tests - Woody Calculus

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 2

Struggling to choose the right convergence test for an infinite series? This course is your complete step-by-step guide to masteringseries convergenceinCalculus 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 seriesGeometric 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 ConvergenceTelescoping SeriesMixed Sample Problems and Strategy

This course doesn’t just throw formulas at you. You’ll build real intuition, spot growth patterns, andlearn 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 professor

Downloadable PDF slides for each lesson

Practice problems with fully worked solutions

A structured system for choosing the right test on exams

Visual and verbal cues to connect formulas with real understanding

This is part of theCalculus 2 Mastery Seriesby 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
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