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Alternating Series Test & Remainder Examples | Calculus 2 - JK Math
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Example Problems For How to Use the Alternating Series Test (Calculus 2)
In this video we look at several practice problems of using the alternating series test to determine if an alternating series converges or diverges. We also look at a couple examples of approximating the sum of a converging alternating series using an error formula.
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 Example 1 - (-1)^n/n^2
5:03 Example 2 - (-1)^(n+1)/e^n
8:11 Example 3 - n*(-1)^n/(4n+3)
11:04 Example 4 - (n+1)(-1)^(n+1)/ln(n+1)
15:10 Example 5 - cos(nπ)
18:54 Example 6 - (cos(nπ)*sqrt(n))/(n+2)
27:15 Example 7 - Approximate Sum of (-1)^(n+1)/n^3
35:09 Example 8 - Approximate Sum of (-1)^n/(10n+1)
42:23 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
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.
In this video we look at several practice problems of using the alternating series test to determine if an alternating series converges or diverges. We also look at a couple examples of approximating the sum of a converging alternating series using an error formula.
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 Example 1 - (-1)^n/n^2
5:03 Example 2 - (-1)^(n+1)/e^n
8:11 Example 3 - n*(-1)^n/(4n+3)
11:04 Example 4 - (n+1)(-1)^(n+1)/ln(n+1)
15:10 Example 5 - cos(nπ)
18:54 Example 6 - (cos(nπ)*sqrt(n))/(n+2)
27:15 Example 7 - Approximate Sum of (-1)^(n+1)/n^3
35:09 Example 8 - Approximate Sum of (-1)^n/(10n+1)
42:23 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
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.
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