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Limit of a Function - Jones & Bartlett Learning

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 Bar

EXAMPLE 2 A Limit That Exists The graph of the piecewise-defined function is given in FIGURE 2.1.5.Notice that is not defined, but that is of no consequence when considering From the graph and the accompanying tables,lim

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