π

All Subjects

Β >Β

βΎοΈΒ

AP Calc

Β >Β

βΎ

Unit 10

# 10.8 Ratio Test for Convergence

Peter Cao

### AP Calculus AB/BCΒ βΎοΈ

BookmarkedΒ 7.1kΒ β’Β 259Β resources
See Units

There are many tests that you have learned for this course, and we are headed to the final one, the ratio test, which is useful for series with exponentials or factorials.

## Review Flowchart

Now that we have completed all the tests that you need to know for the AP Calculus BC test, here is a flowchart showing how to use the tests (ignore the Taylor Series, which we will talk about later, and the root test, which is not required for this course).
For a better resolution, check out this link.

## Problems

1. State the ratio test.
Determine if the following series converge or diverge.

Thousands of students are studying with us for the AP Calculus AB/BC exam.
Studying with Hours = the ultimate focus mode
Start a free study session
##### π Are you ready for college apps?
Take this quiz and find out!
Start Quiz
Browse Study Guides By Unit
πBig Reviews: Finals & Exam Prep
βοΈFree Response Questions (FRQ)
π§Multiple Choice Questions (MCQ)
βΎUnit 10: Infinite Sequences and Series (BC Only)
πUnit 1: Limits & Continuity
π€Unit 2: Differentiation: Definition & Fundamental Properties
π€π½Unit 3: Differentiation: Composite, Implicit & Inverse Functions
πUnit 4: Contextual Applications of the Differentiation
β¨Unit 5: Analytical Applications of Differentiation
π₯Unit 6: Integration and Accumulation of Change
πUnit 7: Differential Equations
πΆUnit 8: Applications of Integration
π¦Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)
##### FREE AP calc Survival Pack + Cram Chart PDF
Thousands of students are studying with us for the AP Calculus AB/BC exam.