Read through sections 11.4 and write down all definitions, theorems, and anything else that seems pertinent.
Be able to answer the following questions:
- Can you fully state the Comparison Test?
- Can you fully state the Limit Comparison Test?
- We reach for these tests when we think our series should act like a series we know something about. What are the likely candidates (lots) to use to compare?
- If we suspect that our series converges, what must be true about the series we use to compare? (Hint: It is more than the series we use converges)
- If we suspect that our series diverges, what must be true about the series we use to compare?
(Hint: It is more than the series we use diverges)
Looking at the examples is the key to the prep.