1. Ratio and Root Tests • Thm.Ratio Test • Let Ʃan be a series with nonzero terms. • If , the series is abs. convergent. • If , the series is divergent. • If , then the test fails.

2. Ex.

3. Ex.

4. Thm.Root Test • Let Ʃan be a series. • If , the series is abs. conv. • If , the series is divergent. • If , then the test fails.

5. Ex.

6. Ex.

7. p. 781: 2, 3, 6, 13, 23, 27

8. p. 784: 1, 3, 4, 5, 6, 8, 10, 12, 21, 26