Ratio & Root Tests | Geometric Series Generalized

Series with a fixed ratio between all the terms were called Geometric Series. However, if there is not a fixed ratio, we can instead consider the limit of the ratios and look at that. This gives us a ratio test with conditions somewhat analogous to the Geometric Series. Similarly, in some instances it is better to look at the nth roots instead and then we get a so called Root Test. **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Full Course Playlist: CALCULUS II:    • Calculus II (Integration Methods, Series, ...   **************************************************** Other Course Playlists: ►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...   ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series:    • 5 Tips To Make Math Practice Problems Actu...   ►Want some cool math? Check out my "Cool Math" Series:    • Cool Math Series   ***************************************************** ►Check out my 2nd Channel for lower production quality "live" math videos:    / @drtreforuvic   ***************************************************** ►Follow me on Twitter:   / treforbazett   ***************************************************** This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati. BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett