MATH 31B Final: MATH31B Final Exam 2012 Winter
Document Summary
Instructions: this exam is divided into 3 sections: multiple choice (20 points), short answer (20 points) and long answer (60 points). There are 13 questions in total; allocate your time accordingly. Please ensure that your test has 16 pages, including this cover page. With the exception of multiple choice questions, you should show all your work. Blank pages have been provided; if you need more space, continue on the back of the page. There should be nothing on your desk other than this test, some- thing to write with and your student identi cation card. This includes your cell phones, which you have already turned o . For questions 1 5, circle the correct answer. You do not need to justify your answer to obtain credit. Each question is worth 4 points: the limit lim x 3. 9 x2 sin ( x) is: (a) 6 (b) 6 (c) (d)
