10.5 Absolute Convergence: the Ratio and Root Tests

Objectives

• 1. Test convergence using the Absolute Convergence Test.
• 2. Use the Ratio Test to determine whether series converge absolutely or diverge.
• 3. Use the Root Test to determine whether series converge absolutely or diverge.

Readings and Lecture Videos

10.5 Absolute Convergence.pdf Download 10.5 Absolute Convergence.pdf

10.5 Absolute Convergence.pptx Download 10.5 Absolute Convergence.pptx  

https://utpb-my.sharepoint.com/:v:/g/personal/padilla_w_utpb_edu/EQTEdTYMAFBHo4SwzLh_JMEB1DaqsEwoX8Dtb0-q2BM7jQ?e=3ISRFo Links to an external site.

 

Checkpoint 1:  Absolute convergence  https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=1 Links to an external site.

Checkpoint 2: Trig series Absolute convergence  https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=2 Links to an external site.

Checkpoint 3:  Ratio test https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=3 Links to an external site.

Checkpoint 4: Ratio test https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=4 Links to an external site.

Checkpoint 5: Root test:  https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=5 Links to an external site.

Checkpoint 5: Root test  https://mediaplayer.pearsoncmg.com/assets/teu14_sl_1005?clip=6 Links to an external site.