πŸ“š

Β >Β 

♾️ 

Β >Β 

β™Ύ

10.7 Alternating Series Test for Convergence

1 min readβ€’june 18, 2024


AP Calculus AB/BC ♾️

279Β resources
See Units


https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(565).png?alt=media&token=b2a04987-32bc-4162-b858-a32ab8ebfaec

What are Alternating Sequences?

Alternating sequences alternate in sign between each consecutive term, usually by having a factor of (-1)^n or cos(nΟ€).

What is the Alternating Series Test?

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(764).png?alt=media&token=76d0ba7b-0fcd-4799-81e4-26dad3834585

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(766).png?alt=media&token=9113f879-0f37-43e6-8125-062e9b8d61ce

Problems

1. State the alternating series test.
Determine whether the following series converge or diverge.
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(768).png?alt=media&token=64cf6811-8c1d-46fc-8c42-42c515a9ee2d

Browse Study Guides By Unit
πŸ‘‘Unit 1 – Limits & Continuity
πŸ€“Unit 2 – Fundamentals of Differentiation
πŸ€™πŸ½Unit 3 – Composite, Implicit, & Inverse Functions
πŸ‘€Unit 4 – Contextual Applications of Differentiation
✨Unit 5 – Analytical Applications of Differentiation
πŸ”₯Unit 6 – Integration & Accumulation of Change
πŸ’ŽUnit 7 – Differential Equations
🐢Unit 8 – Applications of Integration
πŸ¦–Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)
β™ΎUnit 10 – Infinite Sequences & Series (BC Only)
πŸ“šStudy Tools
πŸ€”Exam Skills

Fiveable
Fiveable
Home
Stay Connected

Β© 2024 Fiveable Inc. All rights reserved.


Β© 2024 Fiveable Inc. All rights reserved.