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8b final

# 8b final - Math 8B-030 Practice Final Exam Mar 8 2008 Name...

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Math 8B-030 Practice Final Exam Mar 8, 2008 Name: ID: Discussion: Problem1: Problem2: Problem3: Problem4: Problem5: Problem6: Problem7: Problem8: Problem9: Problem10 Problem11 Problem12 Problem13 Problem14 Instructions: Please write your name at the top of every page of the exam. The exam is closed book, calculators are not allowed. You will have approximately 3 hours for this exam. The point value of each problem is written next to the problem - use your time wisely. Please show all work. Partial credit will be given only for work shown. You may use either pencil or ink. If you have question, need extra paper, need to use the restroom, etc., raise your hand. 1

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Problem1(12pts). Compute the following limits using L 0 Hopital’s rule: (a). lim x 0 x (cos x - 1) sin x - x (b). lim x 1 4 + 2 x - 2 x 2
Problem2(12pts). Compute the following limits by any method: (a). lim x + 2 x 2 + 3 ( x + 1) 2 (b). lim x + x tan 1 x 3

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Problem3(6pts). f ( x ) = ( x 2 , x < 5 , - 2 x 2 + A, x 5 .
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