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Unformatted text preview: Math 25: Advanced Calculus Fall 2010 Midterm 2 Your Name: Student ID: Signature: Instructions 1. You have 50 minutes to complete this exam. Complete the problems in a way that will optimize your total score. 2. There is plenty of room for you to do scratch calculations on this exam. In your final solution, please be sure to present your work in a clear, legible, and logical manner. If you have solved a problem on the back of one of the pages of the exam, please indicate this to the grader. 3. You are not allowed any books or notes on this exam. You are not allowed to use a calculator. 4. Please silence or turn off your cell phones. You may not use any electronic devices during the exam, such as mp3 players or laptop computers. 5. The exam has 4 problems on 5 pages. Please make sure you have them all. 6. Raise your hand if you have a question. Score 1. (10) 2. (8) 3. (6) 4. (6) Total (30) Good luck! Lemmas you may use without proof Lemma 1: For any x > 0, there exits a natural number n such that n > x ....
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- Fall '10