APPM 1340 Final: appm1340fall2014examfinal
Document Summary
On the front of your bluebook, please write: your name, instructor"s name, and a grading key. This exam is worth 150 points and has 8 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. 4 : find an equation for the line tangent to y = g(x) at x = . Justify your answer using appropriate limits. x a: (18 points) consider the function f de ned below. State the de nition of continuity and use it to justify your answer. f (x) = 5/3, x < 0 x = 0 cot(3x) sin(5x), x > 0 (a) (10 points) let l(x) equal the linearization of 3 x + 1 at x = 0. 10 . (b) (16 points) let h(t) = t2.
