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10. In each case, give an example (or explain why there isn't one) of a series...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equa...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
Will rate for correct answers! 14. State whether the following series converges absolutely, converges conditionally or...
Will rate for correct
answers!
14. State whether the following series converges absolutely, converges conditionally or diverges. (-2)" n! -2" a. converges absolutely b. converges conditionally c. diverges 15. State whether the following series converges absolutely, converges conditionally or diverges. (-1)k E 2² - JE a. converges absolutely b. converges conditionally c. diverges
cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally...
cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally (b) The series converges both absolutely and conditionally (c) The series diverges (d) The series converges conditionally (e) The series converges absolutely
0 d. 3, 4 Determine whether the series C (-1)* cos(kr) onverges absolutely, converges conditionally or...
0 d. 3, 4 Determine whether the series C (-1)* cos(kr) onverges absolutely, converges conditionally or wered k=2 Cof diverges. estion Select one: a. Converges absolutely O b. Converges conditionally c. None of these d. Diverges If fa power series ck (z – a)" converges absolutely for (x – al < R, then the series wered k=0 IM k=0 of converges. Select one: stion a. None of these b. True c. False
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you us...
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...
1. Give an example of a convergent infinite series whose sum equals 1 Show that your...
1. Give an example of a convergent infinite series whose sum equals 1 Show that your series converges and show how to finds its sum (i.e. verify that the sum equals what we want). There are infinitely many possible answers! 2. n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether n=1 converges or diverges. 3n2 – 2 3n2 – 2 (-1)" 4n5/2 + n 4n5/2 +n b. Determine whether n=1 converges or diverges. 3n2 – 2 (-1)" 4n5/2...
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges....
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...
Consider the series
Consider the series \(\sum_{n=1} a_{n}\) where$$ a_{n}=\frac{(-1)^{n} n^{2}}{n^{2}+4 n+3} $$In this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series...
Consider the series
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
Consider the series
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
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14. State whether the following series converges absolutely, converges conditionally or diverges. (-2)" n! -2" a. converges absolutely b. converges conditionally c. diverges 15. State whether the following series converges absolutely, converges conditionally or diverges. (-1)k E 2² - JE a. converges absolutely b. converges conditionally c. diverges
cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally (b) The series converges both absolutely and conditionally (c) The series diverges (d) The series converges conditionally (e) The series converges absolutely
0 d. 3, 4 Determine whether the series C (-1)* cos(kr) onverges absolutely, converges conditionally or wered k=2 Cof diverges. estion Select one: a. Converges absolutely O b. Converges conditionally c. None of these d. Diverges If fa power series ck (z – a)" converges absolutely for (x – al < R, then the series wered k=0 IM k=0 of converges. Select one: stion a. None of these b. True c. False
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...
1. Give an example of a convergent infinite series whose sum equals 1 Show that your series converges and show how to finds its sum (i.e. verify that the sum equals what we want). There are infinitely many possible answers! 2. n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether n=1 converges or diverges. 3n2 – 2 3n2 – 2 (-1)" 4n5/2 + n 4n5/2 +n b. Determine whether n=1 converges or diverges. 3n2 – 2 (-1)" 4n5/2...
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...
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