These are the tests for the convergence of sequences and the convergence series that we will use this semester.
| Tests for Sequence Convergence or Known Sequences |
| a. Connect the Dots and use Calculus 1 |
| b. Connect the Dots and use l'Hopital's Rule |
| c. Geometric Sequence |
| d. P-Sequence |
| e. Squeeze Theorem (Sandwich Theorem) |
| f. Absolute Value to Zero Theorem |
| g. Bounded Monotonic Theorems |
| h. Recursively Defined Sequences using Graphing Calculator |
| Tests for Series Convergence or Known Series |
| 1. Geometric Series |
| 2. Partial Fractions Series (Telescoping Series) |
| 3. Harmonic Series |
| 4. Divergence Test (nth Term Test) |
| 5. Integral Test |
| 6. P-Series |
| 7. Comparison Test |
| 8. Limit Comparison Test |
| 9. Alternating Series Test |
| 10. Ratio Test |
| 11. Root Test |