This Integral Calculus lecture (pdf) introduces the students to the topic of a series convergence test called the Ratio Test and the Root Test.

Sub-topics included are:

• Formal definition of Absolute Convergence and Conditional Convergence
• Definition of Ratio Test
• Definition of Root Test

Plus: many examples regarding these topics throughout.

Typed in LaTeX for a beautiful and professional look.

For these same notes, together with the scaffolded version, click here.

If you enjoyed this product, I have other lecture notes related to infinite series:

• Infinite Sequences
• Introduction to Infinite Series
• Integral Test - Series Convergence Test
• Comparison Test - Series Convergence Test
• Alternating Series Test - Series Convergence Test
• Power Series
• Power Series Representation
• Taylor and Maclaurin Series
• Complete List of Convergence Tests