Transcription of Limit of a Function
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Limit of a Function
Limit of a FunctionChapter 2In This ChapterMany topics are included in a typical course in calculus. But the three most fun-damental topics in this study are the concepts of Limit , derivative, and integral. Each of these con-cepts deals with functions , which is why we began this text by first reviewing some importantfacts about functions and their , two problems are used to introduce the basic tenets of calculus. These are thetangent line problemand the area problem. We will see in this and the subsequent chapters thatthe solutions to both problems involve the Limit An Informal That Involve A Formal Tangent Line ProblemChapter 2 in Reviewy (x)Lax a xy (x) L (x) Lx a 9/26/09 5:20 PM Page 67 Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION. 68 CHAPTER 2 Limit of a An Informal ApproachIntroductionThe two broad areas of calculus known as differentialand integral calculusare built on the foundation concept of a Limit .
Limit of a Function–Informal Approach Consider the function (1) whose domain is the set of all real numbers except . Although f cannot be evaluated at because substituting for results in the undefined quantity 0x 0, can be calcu-lated at any number that is very x closeto 4. The two tables 4 4 f (x) 4 f (x) 16 x2 4 x show that as approaches ...
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