Chapter 1 Limits and Their Properties
This first chapter involves the fundamental calculus elements of limits. While limits are not typically found on the AP test, they are essential in developing and understanding the major concepts of calculus: derivatives & integrals. These notes cover the properties of limits including: how to evaluate limits numerically, algebraically, and graphically. An important characteristic of functions, continuity, is also discussed in greater detail than in previous math classes. This chapter also contains two major theorems: The Intermediate Value Theorem (IVT) and the Squeeze Theorem. While neither are prominent on the AP test, the IVT has applications with derivative tests found in the third chapter. Lastly, the idea of infinity is discussed in greater detail.
This first chapter involves the fundamental calculus elements of limits. While limits are not typically found on the AP test, they are essential in developing and understanding the major concepts of calculus: derivatives & integrals. These notes cover the properties of limits including: how to evaluate limits numerically, algebraically, and graphically. An important characteristic of functions, continuity, is also discussed in greater detail than in previous math classes. This chapter also contains two major theorems: The Intermediate Value Theorem (IVT) and the Squeeze Theorem. While neither are prominent on the AP test, the IVT has applications with derivative tests found in the third chapter. Lastly, the idea of infinity is discussed in greater detail.
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