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PracticeTest2 chp 10

# PracticeTest2 chp 10 - 10 Q.16(Sec 10.4 Consider the series...

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Name: ___________________________________ Date: ______________ 1. A) B) C) D) 2. Q.16 (Sec 10.6) Find the exact intervals on which the following series converge: A) B) C) 3. Q.2 (Sec 10.6) The values of for which the series converges are: 4. Q.11 (Sec 10.5) Use the Root Test to determine if the following series converge: A) B) C) Page 1

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5. Q.16 (Sec 10.3) Use the Comparison Tests to determine if the following series converge: 6. Q.20 (Sec 10.4) Verrify that satisfies Leibnitz Theorem and find such that , where is the sum of the series. 7. Q.14 (Sec 10.5) Use the Root Test to determine if the series is convergent: 8. Q.18 (Sec 10.6) Let . A) Find the values of for which the series is convergent. B) Find the series for . C) Denote , write and use term-by-term integration to compute explicitly. D) Identify the function . Page 2
9. Q.14 (Sec 10.4) Determine if the following series is conditionally convergent, absolutely convergent, or divergent: A) B) C) 10. Q.16 (Sec 10.4)

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Unformatted text preview: 10. Q.16 (Sec 10.4) Consider the series . A) Determine whether the series is absolutely convergent, conditionally convergent, or divergent. B) If the series converges to , find such that . Hint: use the inequality . 11. Q.18 (Sec 10.7) Find the Maclaurin series for , and determine the values of for which it converges. Page 3 12. Q.21 (Sec 10.6) The values of at which the series converges are: A) B) C) D) E) 13. Q.5 (Sec 10.6) The values of for which the series converges are: A) B) C) D) E) 14. Q.6 (Sec 10.6) Find the values of for which the series converges. 15. Q.8 (Sec 10.7) Find the Taylor series with center for . Page 4 Answer Key - PracticeTest2 1. (No Answer) 2. A) B) C) 3. A 4. A) converges B) diverges C) converges 5. A) converges B) converges C) diverges 6. 7. A) converges B) converges C) converges D) diverges 8. A) B) C) D) 9. A) conditionally convergent B) divergent C) divergent 10. A) conditionally convergent B) 11. , 12. C 13. C 14. 15. Page 5...
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