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.
In the left-hand table in (2) we are letting (for example, is to the left of on the number line), whereas in the right-hand table . One-Sided Limits In general, if a function can be made arbitrarily close to a number L 1 by taking xsufficiently close to, but not equal to, a number a from the left, then we write f …
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