MATH 139 Midterm: MATH139 Fall 2008 Exam

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 139
• Professor: All

Document Summary

You are expected to simplify your answers wherever possible. Questions 1 thru 3 are worth 9 points each, questions 4 thru 9 are worth 10 points each. The exam will be marked out of 87 points and then scaled to a percentage. This exam has 9 questions and 4 pages. Mathematics math139: (9 points) find the following limits. You may use l"hospital"s rule, when appropriate, if you wish. (a) lim x . 2 ) (b) lim x ln(7e3x + 2x5) 4x + 3 (c) lim x 1 x3 x x2 + x 2: (9 points) find the derivative of each of the following functions (a) f (x) = 2x4 x 5 (b) f (x) = 3x + 1 x2 + 1 (c) f (x) = ln(ex x + 2: (9 points) find the derivative of each of the following functions (a) f (x) = arctan x.