Answer the following questions:
1. There are two types of improper integrals. What is the main difference between them?
2. State the Direct Comparison Test for improper integrals. Include the conditions that must hold.
3. State the Limit Comparison Test for improper integrals. Include the conditions that must hold.
4. What does it mean for an improper integral to converge? To diverge?
5. What is the difference between an infinite sequence and an infinite series?
6. How can you tell a series is a Geometric Series? What must be true for this series to converge?
7. How can you tell a series is a p-Series? What must be true for this series to converge?
8. What is the difference between the harmonic series and the p-series?
9. State the th Term Test for Divergence. When is this test inconclusive?
10. Describe how to use the Integral Test to determine the convergence of a series. Include the conditions that must hold.
11. State the Direct Comparison Test for series. Include the conditions that must hold.
12. State the Limit Comparison Test for series. Include the conditions that must hold.