APPM 1350 Midterm: appm1350summer2016exam1_0

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31 Jan 2019
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On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 100 points and has 5 questions on both sides of this paper: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work and simplify your answers! If a limit does not exist, clearly state that fact and explain your reasoning. Make sure to simplify your answer completely. cos(cid:18)3r . 0 (b) lim x 0 (c) lim x 7 tan2(2x) Use appropriate limits to justify: (14 pts) consider the function g(x) =( bx2 + 7 2. Use the limit de nition of the derivative for this problem. Justify your answer. (b) (4 pts) use your answer to part (a) to nd the tangent line of g(x) at x = 1.