Transcription of Limit of a Function - Jones & Bartlett Learning
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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 Bartlett Publishers, LLC.
It would be incorrect to write since this notation carries with it the connotation that the limits from the left and from the right exist and are equal to 0. In this case does not exist since is not defined for f (x) 1x x 60. lim xS0 1x lim xS0 1x 0 lim xS0 1x (() (). ((() () :; 2 2 ⎣ ⎦
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