APPM 1340 Midterm: appm1340fall2014exam2

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31 Jan 2019
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On the front of your bluebook, please write: your name, instructor"s name, and a grading key. This exam is worth 100 points and has 5 questions. Answers with no justi cation will receive no points. Please begin each problem on a new page. No notes, calculators, or other electronic devices are permitted: (28 points) evaluate the following limits. (a) lim x 5 x2 25 x2 10x + 25 (b) lim t 3+ 4 + 3x2: (18 points) g(x) =(x3 x + a, x . Use the de nition of continuity to justify your answer. (b) given your answer for (a), show that g(x) = 0 has at least one solution. Turn the page for problem #5 : (10 points) the graph of y = f (x) is shown below. Sketch a graph of y = f (x). No explanation is necessary. y f x y y f x y x x.