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Chapter 1 Limits 1£®1 The Concept of Limits and its Properties 1£®1£®1 Limits of Sequence 1£®1£®2 Limits of Functions 1£®1£®3 Properties of Limits Exercise 1£®1 1£®2 Limits Theorem 1£®2£®1Rules for Finding Limits 1£®2£®2 The Sandwich Theorem 1£®2£®3 Monotonic Sequence Theorem 1£®2£®4 The Cauchy Criterion Exercise 1£®2 1£®3 Two Important Special limits Exercise 1£®3 1£®4 Infinitesimal and Infinite 1£®4£®1 Infinitesimal 1£®4£®2 Infinite Exercise 1£®4 1£®5 Continuous Function 1£®5£®1 Continuity 1£®5£®2 Discontinuity Exercise 1£®5 1£®6 Theorems about Continuous Function on a Closed Interval Exercise 1£®6 Review and Exercise Chapter 2 Differentiation 2£®1 The Derivative Exercise 2£®1 2£®2 Rules far Finding the Derivative 2£®2£®1 Derivative of Arithmetic Combination 2£®2£®2 The Derivative Rule for Inverses 2£®2£®3 Derivative of Composition 2£®2£®4 Implicit Differentiation 2£®2£®5 Parametric Differentiation 2£®2£®6 Related Rates of Change Exercise 2£®2 2£®3 Higher-Order Derivatives Exercise 2£®3 2£®4 Differentials Exercise 2£®4 2£®5 The Mean Value Theorem Exercise 2£®5 2£®6 L'Hopital's Rule Exercise 2£®6 2£®7 Taylor's Theorem Exercise 2£®7 2£®8 Applications of Derivatives 2£®8£®1 Monotonicity 2£®8£®2 Local Extreme Values 2£®8£®3 Extreme Values 2£®8£®4 Concavity 2£®8£®5 Graphing Functions Exercise 2£®8 Review and Exercise ¡­¡­ Chapter 3 The Integration Chapter 4 Differential Equations Solutions to Selected Problem