Unit Test: Convergence Testing: we'll have one day of class after we return before taking the unit test the next day. Think of this as the gift of time to study more!

Dazzle me with your mathematical insights. No pressure. 😎

Stuff you must know: ALL the convergence tests & geometric series rules!

Ratio Test

Root Test Absolute Convergence

Alternating Series Test

AST Error Bound

Divergence Test

Integral Test

Direct Comparison Test

Limit Comparison Test

P-series Test

Harmonic Series

What kind of series this is:

$LaTeX: a_n=a_1\cdot r^{\left(n-1\right)}$

and what this is: $LaTeX: S=\frac{a_1}{1-r}$ , when LaTeX: |r|<1

Resources:

Reference page: Summary of Convergence Tests

Series Homework Solutions

AP Classroom Videos:

10.1: Defining Convergent and Divergent Series
10.2: Working with Geometric Series
10.3: nth Term Test for Divergence
10.4: Integral Test for Convergence (2 videos)
10.5: Harmonic Series and p-series (1 video)
10.6: Comparison Tests for Convergence
10.7: Alternating Series Test
10.8: Ratio Test for Convergence
10.9: Determining Absolute or Conditional Convergence
10.10: Alternating Series Error Bound