MATH 140 Midterm: MATH140 Fall 2011 Exam

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 140
• Professor: All

Document Summary

Part a: (3 points) find lim x 2 x2 + x 6 x2 x 2 (a) 3 (b) 3, (c) 6, (d) 0, (e) 3: (3 points) find lim x 1 (x + 2)2 x + 8 (a) 6, (b) 1, (c) 0, (d) 3 (e) 3: (3 points) find lim x . 3 (b) 4, (c) 3, (d) 5, (e) does not exist: (3 points) the vertical asymptote(s) of f (x) = 4x4 + 9 x2 + x 2 is (are) best described by (a) x = 0, (b) x = 3, (c) x = 1, (d) two asymptotes, (e) no asymptotes: (3 points) let f (x) = 3x. Version 1: (3 points) the equation y sinh(x) + x cosh(y) = 1 de nes y as a function of x near (x, y) = (1, 0). Find f (0). (a) 1, (b) -2, (c) 0, (d) 4, (e) 2: (3 points) let f (x) =