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Bookmark or Share- 2.2 The Limit of a Function - Calculus Volume 1 - OpenStaxThe concept of a limit or limiting process, essential to the understanding of calculus, has been around for thousands of years. In fact, early mathematicians used a limiting process to obtain better and better approximations of areas of circles.
- Calculus Volume 1 - OpenStaxStudy calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
- Preface - Calculus Volume 1 - OpenStaxCalculus Volume 1 is designed to accommodate both Early and Late Transcendental approaches to calculus. Exponential and logarithmic functions are introduced informally in Chapter 1 and presented in more rigorous terms in Chapter 6.
- Ch. 5 Introduction - Calculus Volume 1 - OpenStaxIn fact, integrals are used in a wide variety of mechanical and physical applications. In this chapter, we first introduce the theory behind integration and use integrals to calculate areas. From there, we develop the Fundamental Theorem of Calculus, which relates differentiation and integration.
- Ch. 1 Introduction - Calculus Volume 1 - OpenStaxIn this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs.
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