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Let .Which one of the following tables is completed correctly? Σ001 un Diverges Converges Diverges Diverges...
Please provide neat handwriting, thank you. Determine if it converges or diverges by an appropriate test. If you were able to apply more than one method which one was casicr? Why? 37 0 2 T 2 2. 0 3 32 112 52 72 92 4. -12 2n 2. 3 -3 An2 5. yo0 2 3 6. 2-1 T sin() 7. 1 CON TE 8 o- n-1 9. (-)" 10 00 n-1 2n Determine if it converges or diverges by an...
1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem. converges ' 1, Cn Diverges 2 9 Converges 3. c(-10)" I-0 n-0 Diverges 3. (-1)"с, 12" 1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem....
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
Un=1 n! Q6-7: Determine whether each series converges conditionally, converges absolutely, or diverges. 1 3n2+4 6. An=1(-1)n-1 7. An=1(-1)n-1 2n2+3n+5 2n2+3n+5 Q8: Compute lim lan+1/an| for the series 2 m2 in Q9: Find the radius and interval of convergence for the series 2n=0 n! 1 Q10: Find a power series representation for (1-x)2 (2-43
Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of order 4. generated by f(x) at zo (b) Describe the MacLaurin series of f (with or without the sigma notation). (Hint: What pattern do the derivatives of f at z-0 follow?) (c) Does the MacLaurin series of f converges absolutely, converges conditionally or diverges at -1? Let f(z-y2 sin(x+-) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of...
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n Σ 4n+4 00 Σ (+: 4 4 n7 n15 W Converges-Integral/Comparison Test Converges-Ratio Test Converges-Alternating Series Test Diverges-Integral/Comparison Test Diverges-Ratio Test Diverges-Alternating Series Test Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n...
1 sin )-sin Determine whether the following series converge or diverge. +1 Select one a. Diverges b. Converges, and the partial sum is 1 C. Converges, and the partial sum is sin 1 2 d. Converges, and the partial sum is 0
(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)
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges conditionally. This is determined by testing the series for "normal” convergence with the integral test, comparison test, root test or ratio test. If the series fails to be absolutely convergent the alternating series test is used in step 2. 2n + 3 Σ(-1)*. 3n2 +1 n=1
2. Determine the values of x for which the given series converges absolutely, converges conditionally or diverges. Σ (x+3)" 2n +3 n=1