Скачать или смотреть Root Test | Calculus 2 Lesson 30 - JK Math

How to Use the Root Test for Series (Calculus 2 Lesson 30)

In this video we learn how to determine if a series converges or diverges by using the Root Test. The root test is particularly useful for series involving powers of n. We will take the limit as n approaches infinity of the nth root of the absolute value of the nth term of a series, and depending on the result of that limit, we can either make a conclusion about the convergence or divergence of the series, or the test will be inconclusive and we will need to use another test on the series.

🖥️ Join My Membership Site: https://www.jkmathematics.com/plus

This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 What is The Root Test?
1:43 Example - (1/n)^n
5:13 Example - 1/5^n
7:50 Example - e^(2n)/n^n
10:26 Example - ((4n+3)/(2n-1))^n
13:41 Example - n^n/3^(2+3n)
19:07 Example - ((-1)^(n+1)*2^(n+4))/(n+1)^n
24:16 Example - 1/n^3
32:42 Outro


📝 Examples Video:    • Root Test Examples | Calculus 2 - JK Math  

⏩ Next Lesson:    • Power Series - Radius & Interval of Conver...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


🌐 Visit My Website: https://www.jkmathematics.com


⚡️Math Products I Recommend⚡️
Graphing Calculator: https://amzn.to/3XuUcB9
Non-Graphing Calculator: https://amzn.to/46hHJ7E
Financial Calculator: https://amzn.to/3CRe9s4
Graphing Paper: https://amzn.to/46mAfAr
College Rule Paper: https://amzn.to/3NOJaTN
My Favorite Pencil: https://amzn.to/3NOFMIB
My Favorite Erasers: https://amzn.to/3PumUQB
Calculus Workbook: https://amzn.to/3r8SnNP

⚡️Textbooks I Use⚡️
Calculus 1 & 2: https://amzn.to/3PzfI5F
Calculus 3: https://amzn.to/46rSy76
Financial Mathematics: https://amzn.to/3ppIVW0

⚡️My Recording Equipment⚡️
iPad Air: https://amzn.to/3phEug1
Apple Pencil (Gen 2): https://amzn.to/3Nl45MM
Tablet Desk Stand: https://amzn.to/4420rPh
External Hardrive: https://amzn.to/44pkEyh

(Commissions earned on qualifying purchases)


Find me on social media:
Facebook:   / jkmathematics  
Twitter:   / jk_mathematics  
Instagram: @jk_mathematics


Found this video to be helpful? Consider giving this video a like and subscribing to the channel!

Thanks for watching! Any questions? Feedback? Leave a comment!

-Josh from JK Math

#calculus

Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.