Ratio Test for Convergence
The Ratio Test tests for absolute convergence. It is particularly useful for complicated-looking series with factorials or exponentials. Let’s dive in with the definition:
Recall:
Examples
Hint: b) is a challenge problem requiring knowledge about the limit definition of e.
Worked Solutions
More Resources
Flipped Math
Flipped Math is an awesome resource with full packets, test prep, and corrective assignments for each lesson!
Math Libretexts
Math LibreTexts is a free online resource packed with textbooks and learning materials for math students. It simplifies complex concepts, provides practice examples, and offers interactive features for convenient learning anytime, anywhere. It’s like a superhero ally for math students, making math easier to understand and excel in.
Paul's Online Notes
Paul’s Online Notes is another amazing resource with in-depth explanations and a few examples. It has a lesson in the first tab and two tabs full of practice problems!
Khan Academy
A classic resource for a reason, Khan Academy offers a ton of practice resources with explanatory videos. However, they’re known for being easier than the actual AP test so you might want to supplement with other resources to make sure you’re prepared for test day.