1. Comparison Tests
Lesson 9.4

2. Direct Comparison Test
Given
If converges, then converges
What if
What could you conclude about these?

3. Try It on These Test for convergence, divergence
Make comparisons with a geometric series or p-series

4. Limit Comparison Test
Given ak > 0 and bk > 0 for all sufficiently large k … and … =L
where L is finite and positive
Then either both converge … or both diverge

5. Limit Comparison Test Strategy for evaluating
Find series with know convergence and general term "essentially same"
Verify that this limit exists and is positive
Now you know that behaves the same as

6. Example of Limit Comparison
Convergent or divergent?
Find a p-series which is similar
Consider
Now apply the comparison

7. Assignment
Lesson 9.4
Page 628
Exercises odd