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Chapter 2 Limits and Continuity - Prentice Hall

58 ChapterAn Economic Injury Level (EIL) is a measure-ment of the fewest number of insect peststhat will cause economic damage to a crop or forest. It has been estimated that monitoring pest populations and establishing EILs can reducepesticide use by 30% 50%.Accurate population estimates are crucial fordetermining EILs. A population density of one in-sect pest can be approximated byD(t) 9t02 3t pests per plant, where tis the number of dayssince initial infestation. What is the rate of changeof this population density when the populationdensity is equal to the EIL of 20 pests per plant? section can help answer this and 12/16/05 12:13 PM Page 58 Chapter 2 OverviewThe concept of limit is one of the ideas that distinguish calculus from algebra this Chapter , we show how to define and calculate Limits of function values. The cal-culation rules are straightforward and most of the Limits we need can be found by substitu-tion, graphical investigation, numerical approximation, algebra, or some combination of the uses of Limits is to test functions for Continuity .

Section 2.1 Rates of Change and Limits 61 THEOREM 1 Properties of Limits If L, M, c, and k are real numbers and lim x→c f x L and lim x→c g …

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