Sections, concepts, and problems

Section 1. Intuitive notion of limit. Limit notation, one-sided limits, infinite limits, limits at infinity, approximating limits.
6, 7, 11, 12, 14, 15, 18, 23, 24, 28, 38

Section 2. Formal definition of limit. The technical definitions of various types of limits, finding delta for a given epsilon.
1, 3, 7, 8, 12, 13, 14, 15, 18, 20, 24, 30, 32, 33, 40, 52

Section 4. Limit rules. Various theorems regarding limits of functions.
3 - 12, 16, 21, 29-31, 35, 44, 47

Section 5. Calculating limits. Using the theorems in the previous section, limits of piecewise functions.
1, 2, 8, 18, 20, 22, 24, 31, 35, 36, 39, 40

Section 6. Continuity. Continuity at a point, one-sided continuity, types of discontinuities, continuous functions.
1, 2, 4, 6, 8, 9, 10, 12, 13, 17, 19, 24, 35, 37, 46, 50

Section 7. Two theorems about continuous functions. The Extreme Value Theorem (EVT) and the Intermediate Value Theorem (IVT).
1, 3, 6bcd, 8, 9, 18, 27, 28, 40, 54, 57, 62

Other Chapters

Chap 0 | Chap 1 | Chap 2 | Chap 3 | Chap 4 | Chap 5 | Chap 6