More Convergence Tests for Series - 18

In this lecture, we will add three more convergence tests for series to our toolbox.

Reading: Rudin Ch. 3: Root and Ratio Tests (pg. 65-68)

Note

No video for this lecture: all the proofs of tests are saved for in-class time.

Pre-Lecture Materials

• More Convergence Tests: Pre-Lecture reading
• More Convergence Tests: Full lecture notes

In-Class Activities

Open the following Overleaf link and make a copy for yourself. Remember to include the names of everyone who worked together in the document.

Lecture 18 In-Class Activity: Series Convergence Tests

Assignments

• Submit Overleaf Proof 18: Series Convergence Tests

Additional Materials

• Lecture 18 More Convergence Tests (Prof. de Pillis CLASSNOTES F2025)
• Lecture 16 More Convergence Tests (Prof. de Pillis CLASSNOTES 2025)
• Lecture 16 More Convergence Tests CLASSNOTES