6. (2n) a. Use the AST to show this series converges. b. Approximate the sum by calculating s c. Find a maximum for the absolute value of the error (error]) in this approximation. d. How many terms n must be added (i.e. s,) so that Jerrort .001
6. (2n) a. Use the AST to show this series converges. b. Approximate the sum by calculating s c. Find a maximum for the absolute value of the error (error]) in this approximation....
Test the series for convergence or divergence. 00 (-1)" +1 2n? n = 1 converges diverges If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms Need Help? Read It Watch It Talk to a Tutor Submit Answer Viewing Saved Work Revert to Last Response
(1 point) Determine whether the series 2n+2 . 3-" is convergent or divergent. If it converges, find its limit. Otherwise, n=1 enter "divergent". The sum is 2/3
a,b,c and d
(-1) 4. (3 points each) Consider the series n° +2n +3 (a) Prove that this series converges absolutely. (b) Show that this series satisfies all three conditions of the Alternating Series Test. HI11-2212, JL ILG-2020 Test #3 (c) What value of n guarantees that the partial sum 8, approximates the sum of this series to within an accuracy of 0.01? (d) Find the sum of the series with this accuracy (by finding the appropriate partial sum sn,...
Show that the sequence is arithmetic. Find the comm {Cn} = {9-2n} Show that the sequence is arithmetic. d=CH-CH-1 = (9 - 2n) - ( ) (Simplify your answers.) What is the value of the common difference? What is the value of the first term? What is the value of the second term? What is the value of the third term? What is the value of the fourth term? Write out the sum. (k+7) k=1 Find the first second, and...
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Please Answer every question and SHOW WORK!
Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
Odd questions Only! Please show work!
hate the error made Show that each alternating series converges. Then estimate the erro when the partial sum S10 is used to approximate the sum of the serie 2. =1 (–1)n +1 in(n+1) 3. L^_1(-1)1+1 ne 4. L 1 (-)" For problems 7 - 14, determine whether the series is absolutely convergent, conditionally convergent, or divergent. 7. L=1 (-1)n-1 mm 8. Ex=1 (–1)n+1 9. LX-(-1)n+1 szint 10. Là conn 11. Im= sin(n-1/2) 12. DM-1...
= 7. Determine whether the sequence an find the limit. (2n)3 +sin(n) n+n2 +6 converges or diverges. If it converges,
(6 pts) Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges Vn (n + 1)(22-1)" 2n 4 7n +4 sin(3n)
(6 pts) Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges Vn (n + 1)(22-1)" 2n 4 7n +4 sin(3n)
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| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1