2224test3 - Math 2224 Test 3 Instructions: You have the...

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Math 2224 Test 3 Instructions: You have the entire class period to complete this test. No resources (books, notes, calculators, etc.) are permitted, but you are not required to reduce answers to simplest form on the free-response section. You may use scratch paper if you wish. Multiple-Choice Section: Circle the letter of the correct answer to the problems below. 1. In the Taylor series for f ( x ) = e - 2 x cen- tered at x = 1, the sum of the first three terms are: (a) 12 ( x - 1 ) + 2 ( x - 1 ) 2 (b) 1 + 2 ( x - 1 ) + 4 ( x - 1 ) 2 (c) 12 ( x - 1 ) + 4 ( x - 1 ) 2 (d) None of (a), (b), or (c) is correct. 2. Let a n = 2 1/ n . Which of the following is true? (a) The sequence { a n } diverges and the series n = 1 a n converges. (b) The sequence { a n } converges and the series n = 1 a n diverges. (c) The sequence { a n } and the series n = 1 a n converge. (d) The sequence { a n } and the series n = 1 a n diverge. 3. Find the sum of the following series if it
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2224test3 - Math 2224 Test 3 Instructions: You have the...

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