11.3.1: the Integral Test & p-series

Action Items:

1. Notes: if you are absent, take notes on the material below as necessary then attempt the homework. If you are struggling with the topic or need a review of concepts beyond what is contained in my summary notes, refer to Stewart 11.3.

Today's Topic: the Integral Test & p-Series If you are struggling with the topic or need a review of concepts, refer to Stewart 11.3. [Ed. Note: you are going to like the P-Test! ☺️]

Summary of my notes:

BC 11.3: Integral Test & p-series Test Notes

The integral and p-series tests are justifications for the convergence or divergence of series not the other way around!

2. Practice: 11.3.1: #3-25, odd.

Things you MUST KNOW:

Divergence Test

Harmonic Series

Integral Test

P-series Test

What kind of series this is: $LaTeX: a_n=a_1\cdot r^{\left(n-1\right)}$

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

Resources:

Series Homework Solutions

AP Classroom Videos:

10.4: Integral Test for Convergence (2 videos)

10.5: Harmonic Series and p-series (1 video)

Or catch up with one of the previous AP videos (I highly recommend these, whether you think you fully understand everything or not!)!

10.1: Defining Convergent and Divergent Series
10.2: Working with Geometric Series
10.3: nth Term Test for Divergence