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APEX Calculus

APEX Calculus

The table of contents for this book is as follows: Table of Contents iii 1 Limits 1 1.1 An IntroducƟon To Limits . . . . . . . . . . . . . . . . . . . . . 1 1.2 Epsilon-Delta Definition of a Limit . . . . . . . . . . . . . . . . 9 1.3 Finding Limits Analytically . . . . . . . . . . . . . . . . . . . . . 16 1.4 One Sided Limits . . . . . . . . . . . . . . . . . . . . . . . . . 28 1.5 Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 1.6 Limits involving infinity . . . . . . . . . . . . . . . . . . . . . . 45 2 Derivatives 57 2.1 Instantaneous Rates of Change: The Derivative . . . . . . . . . 57 2.2 Interpretations of the Derivative . . . . . . . . . . . . . . . . . 71 2.3 Basic Differentiation Rules . . . . . . . . . . . . . . . . . . . . 78 2.4 The Product and Quotient... Show More

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