| Section | You should be able to \(\ldots\) | Example | Review Exercises |
|---|---|---|---|
| 1.1 | 1 Discuss the slope of a tangent line to a graph (p. 69) | 4 | |
| 2 Investigate a limit using a table of numbers (p. 71) | 1-3 | 1 | |
| 3 Investigate a limit using a graph (p. 73) | 4-7 | 2, 3 | |
| 1.2 | 1 Find the limit of a sum, a difference, and a product (p. 82) | 1-6 | 8, 10, 12, 14, 22, 26, 29, 30, 47, 48 |
| 2 Find the limit of a power and the limit of a root (p. 84) | 7-9 | 11, 18, 28, 55 | |
| 3 Find the limit of a polynomial (p. 86) | 10 | 10, 22 | |
| 4 Find the limit of a quotient (p. 87) | 11-14 | 13-17, 19-21, 23-25, 27, 56 | |
| 5 Find the limit of an average rate of change (p. 89) | 15 | 37 | |
| 6 Find the limit of a difference quotient (p. 89) | 16 | 5, 6, 49 | |
| 1.3 | 1 Determine whether a function is continuous at a number (p. 93) | 1-4 | 31-36 |
| 2 Determine intervals on which a function is continuous (p. 98) | 5, 6 | 39-42 | |
| 3 Use properties of continuity (p. 98) | 7, 8 | 39-42 | |
| 4 Use the Intermediate Value Theorem (p. 100) | 9, 10 | 38, 44-46 | |
| 1.4 | 1 Use the Squeeze Theorem to find a limit (p. 106) | 1 | 7, 69 |
| 2 Find limits involving trigonometric functions (p. 108) | 2, 3 | 9, 51-55 | |
| 3 Determine where the trigonometric functions are continuous (p. 111) | 4, 5 | 63-65 | |
| 4 Determine where an exponential or a logarithmic function is continuous (p. 113) | 6 | 43 | |
| 1.5 | 1 Investigate infinite limits (p. 117) | 1 | 57, 58 |
| 2 Find the vertical asymptotes of a function (p. 119) | 2 | 61, 62 | |
| 3 Investigate limits at infinity (p. 120) | 3-8 | 59, 60 | |
| 4 Find the horizontal asymptotes of a function (p. 125) | 9 | 61, 62 | |
| 5 Find the asymptotes of a rational function using limits (p. 126) | 10 | 67, 68 | |
| 1.6 | Use the \(\epsilon\)- \(\delta \) definition of a limit (p. 132) | 1-7 | 50, 66 |