APPM 1350 Final: appm1350spring2016final
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Instructions: books, notes, and electronic devices are not permitted. Write (1) your name, (2) 1350/final, (3) lecture number/instructor name and (4) spring 2016 on the front of your bluebook. Also make a grading table with room for 5 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Specify both the x and y coordinates. (b)(8 pts) use the squeeze theorem to evaluate the following limit: Xesin( /x). lim x 0+ (c)(8 pts) find the absolute extrema of g(x) = ln(x2 + x + 1) for 1 x 1. Pick only one answer, no justi cation necessary - be sure to copy down the entire answer, don"t just write down the roman numeral of your choice: (i) ln(x) sin(x)ln(x) 1 (ii) sin(x)ln(x) cos(x)1/x (iii) sin(x)ln(x)(cid:20) ln(sin x) x.