# Calc_1_Week_4.pdf - Math 140 1 Week 4 Plan Limits at...

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Math 140Week 4 Plan1Limits at Infinity and Horizontal Asymptotes (2.6)1.1Reading questions(Due before class on Tuesday, June 23)1.(a) Draw a graph wherey= 2 is a horizontal asymptote and the graph never crosses the asymp-tote.(b) Draw a graph wherey=-1 is a horizontal asymptote and the graph crosses the asymptoteinfinitely many times.(c) Draw a graph wherey= 3 andy=-3 are both horizontal asymptotes.2. Describe a strategy for solving limits of the form limx→∞f(x)g(x), wheref(x) andg(x) are polynomials.3. Discuss the similarities between the precise definition of an infinite limit (Definition 7 in thissection) and the precise definition of a limit that you saw in Section 2.4.1.2Warm-up problems(Due in class on Tuesday, June 23)For each of the following functionsf(x), find a)limx→∞f(x) and b)limx→-∞f(x)1.f(x) =4x+ 13x+ 22.f(x) =2x2-3x+ 13.f(x) =x+ 12x2-34.f(x) =4x2+ 15x+ 25.f(x) =3ex+ 72ex+ 4
Math 140Week 4 Plan2Derivatives and Rates of Change (2.7)2.1Reading questions(Due before class on Wednesday , June 24)

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