1110-fa2009-final-exam - Math 1110 Name: Final Exam...

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Math 1110 Final Exam 10 December 2009 Name: Instructor: Section: INSTRUCTIONS — PLEASE READ THIS NOW This test has 9 problems on 15 pages, worth a total of 200 points. Please carefully write all your final answers on the page they are posed. There are 2 extra blank pages at the back of this booklet, but we will not read your work on those pages. Write your name, your instructor’s name, and your section number right now . This is worth one point!! Look over your test packet as soon as the exam begins . If you find any missing pages or problems please ask a proctor for another test booklet. SHOW YOUR WORK. To receive full credit, your answers must be neatly written and logically organized. If you need more space, write on the back side of the preceding sheet, but be sure to label your work clearly. You do not need to simplify your answers unless explicitly instructed to do so. You have 2 1 2 hours to complete this exam. This is a closed book exam. You are NOT allowed to use a calculator. You may consult two 3 × 5 inch index cards of notes. All other aids are prohibited. Academic integrity is expected of all Cornell University stu- dents at all times, whether in the presence or absence of mem- bers of the faculty. Understanding this, I declare I shall not give, use, or receive unauthorized aid in this examination. Please sign below to indicate that you have read and agree to these instructions. Signature of Student OFFICIAL USE ONLY 1. / 20 2. / 18 3. / 9 4. / 8 5. / 24 6. / 10 7. / 10 Info: / 1 Total: / 200
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Math 1110 (Fall 2009) Final Exam (12/10/2009) 1 Question 1. (20 points/5 points each) Please evaluate the following limits. (a) lim x a x 2 - a 2 x 4 - a 4 (where a 6 = 0 ) (b) lim h 0 sin - 1 ( 1 2 + h ) - sin - 1 ( 1 2 ) h
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Math 1110 (Fall 2009) Final Exam (12/10/2009) 2 (c) lim x 0 ( e x + x ) 1 x (d) lim n →∞ n X k = 1 1 n k n + ± k n ² 2 !
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Math 1110 (Fall 2009) Final Exam (12/10/2009) 3 Question 2. (20 points/5 points each) Please compute the following derivatives.
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This note was uploaded on 03/01/2012 for the course MATH 1110 at Cornell University (Engineering School).

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1110-fa2009-final-exam - Math 1110 Name: Final Exam...

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