Exam 3 Quiz - 6 Find the sum of the infinite series ∑ ∞...

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Quiz These problems will count as a quiz grade. You must show all your work on a separate piece of paper. You may work individually or in groups on this assignment. If you work in a group you may turn in one set of work for the entire group (be sure to include the name of each group member). These problems are due on the day of Exam 3. 1. Determine if the integral converges or diverges and find the value if it converges: ( 29 2 0 1 1 dx x + . 2. Determine if the integral converges or diverges and find the value if it converges: 0 1 1 dx x + . 3. Determine if the integral converges or diverges and find the value if it converges: 1 1/3 1 1 dx x - . 4. Determine if the integral converges or diverges and find the value if it converges: 1 2 0 1 1 dx x - . 5. Use the sequence ,... 10 6 , 8 5 , 6 4 , 4 3 , 2 2 to complete the following. a. Determine a formula for the th n term in the sequence. b. Determine the next three terms in the sequence. c. Does the sequence converge or diverge? If it converges, what does it converge to?
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Unformatted text preview: 6. Find the sum of the infinite series ∑ ∞ = 1 3 2 n n n . 7. Determine if the series ∑ ∞ = + 1 2 5 3 7 n n converges or diverges. Show all work. 8. Determine if the series ∑ ∞ = + 1 5 3 7 n n converges or diverges. Show all work. 9. Determine if the series ( 29 ∑ ∞ = + 1 2 ! 1 n n n converges or diverges. Show all work. 10. Determine if the series ∑ ∞ = 1 / 1 n n e converges or diverges. Show all work. 11. We can use Newton’s method to approximate 5 2 to 2 decimal places. If the first approximation is 1, find the next approximation. 12. Complete the table using the Bisection Method to estimate the root of 7 2 =-x between 2 and 3. n a n m n b ( 29 n a f ( 29 n m f ( 29 n b f 13. Use Newton’s Method to approximate the solution to 1 4 3 = +-x x to four decimal places. Use 0 as the first approximation....
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This note was uploaded on 02/25/2010 for the course MATH 201 taught by Professor Kim during the Spring '07 term at SIU Carbondale.

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