APPM 1350 Final: appm1350fall2014examfinal
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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) fall 2014 on the front of your bluebook. Also make a grading table with room for 6 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. Simplify your answers as much as possible: the following parts are not related: (a)(5 pts) evaluate the limit lim x (b)(5 pts) evaluate the limit lim x 0+ cosh(x)1/x. Justify your answer. x4 cos(cid:18) 2 (c)(7 pts) prove that lim x 0 (d)(8 pts) suppose f (x) = x2, x 2. Use the limit de nition of the derivative to determine whether or not f (x) is di erentiable at the point x = 2. You may not use l"hospital"s rule for this problem.
