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2 Limits and Continuity
Limits and Continuity
Get ready for Chapter 2 .................................................... 62
2-1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve ...... 64
2-2 The Concept of Limit ................................................. 69
2-3 Computation of Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
2-4 Continuity and Its Consequences ...................................... 87
2-5 Limits Involving Infinity; Asymptotes ................................... 98
2-6 Formal Definition of the Limit......................................... 109
2-7 Limits and Loss-of-Significance Errors ..................................121
Maciej Bledowski/Alamy
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