1271practicemidterm1F09

1271practicemidterm1F09 - Name: Signature: Section and TA:...

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Name: Signature: Section and TA: Math 1271. Lecture 030 Practice Midterm Exam I There are a total of 100 points on this 50 minute exam. To get full credit for a problem you must show the details of your work. Answers unsupported by an argument will get little credit. No books, notes, calculators, cell phones or other elecronic devices are allowed. Do all of your calculations on this test paper. Problem Score 1. 2. 3. 4. 5. Total: 1
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Problem 1 Compute the limits. It is important that you show your work. The answer alone is not sufficient. a. (4 points) lim x →- 1 q | x | + x b. (4 points) lim x →- 6 x + 6 x 2 - 36 c. (4 points) lim x π sin x x 2
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d. (4 points) lim x →-∞ ± 1 - x - 2 - x ² e. (4 points) lim x + x cos x x + 3 cos x 3
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Problem 2 a. (15 points) Directly from the limit definition of the deriva- tive, compute f 0 ( a ) for any a > - 3 where f ( x ) = x + 3 - x 6 . b. (5 points)
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1271practicemidterm1F09 - Name: Signature: Section and TA:...

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