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Problem 4. (1 point) Which of the following series converges by the Alternating Series Test? sin(n)...
(1 point) Which of the following series converges by the Alternating Series Test? A. (-5)" n7...
(1 point) Which of the following series converges by the Alternating Series Test? A. (-5)" n7 n1 B sin(n) 5n2 00 O C. (-1)"n2 +5n 3n2 + 7 n1 IM8 M8 00 D. n1 (-1)" 5n-1 E. Both A and B.
Problem 3. (1 point) Consider the series 4+ (-4)" 8" Which of the following statements accurately...
Problem 3. (1 point) Consider the series 4+ (-4)" 8" Which of the following statements accurately describes the series? A. It converges to B. It converges to C C. It converges to 38 21 D. It converges to E. None of the above, the series diverges. Problem 4. (1 point) Which of the following series converges by the Alternating Series Test? 48 (-1) (-1)" Vn - 5 00 sin(n) B. 7n2 nal (-1)"m? + in 3n2 + 7 Do D....
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following...
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
(1 point) Consider the series jo 4+(-1)"n? 7n3 - 5 n1 Which of the following statements...
(1 point) Consider the series jo 4+(-1)"n? 7n3 - 5 n1 Which of the following statements accurately describes the series? O A. The series converges by the Alternating Series Test. B. The series diverges by the Integral Test. O 4 C. The series converges by the Limit Comparison Test with the series ni 7n3 O D. The series converges by the Integral Test. O E. The series diverges by the Divergence Test.
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)",...
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)", n 6 E 1 sin2 (3n) 2. n2 00 (п+ 1)(15)" 3. B 42n n-1 OC 6(6)" A 4. 2n 11 n 1 00 (-1)" In(e") п° cos(пт) C 5. n-1 1 D 6. п(m(n))? п-2 A. Geometric series B. Ratio test C. Integral test D. Comparison with a convergent p series. E. Alternating series test c2
(1 point) Select the FIRST correct reason...
(1 point) This series converges Check all of the following that are true for the series...
(1 point) This series converges Check all of the following that are true for the series 5 sin na n2 n-1 OA. This series converges OB. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. OF. The ratio test can be used to determine convergence of...
(1 point) Select the FIRST correct reason why the given series converges. A. Convergent geometric series...
(1 point) Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above 1. n² + √n n4 – 4 sin?(2n) n2 E 4 (n + 1)(9)" n=1 2n + 2 cos(NT) 16. In(3n)
(1 pt) Test each of the following series for convergence by either the Comparison Test or...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
(1 point) Consider the series 8+(-1)" 8n5 - 9n n1 Which of the following statements accurately...
(1 point) Consider the series 8+(-1)" 8n5 - 9n n1 Which of the following statements accurately describes the series? O A. The series diverges by the Integral Test. B. The series converges by the Alternating Series Test. . C. The series diverges by the Divergence Test. D. The series converges by the Limit Comparison Test with the series 8 8n5 O E. The series converges by the Integral Test.
(1 point) Assume we are trying to determine the convergence or divergence of the series 2n2...
(1 point) Assume we are trying to determine the convergence or divergence of the series 2n2 + 6n3 no 3n2 n1 M8 Which of the following statements accurately describes the series? O A. The series converges conditionally. OB. The series diverges by the Divergence Test. O 1 C. The series converges by the Limit Comparison Test with the series n n=1 2 D. The series converges by the Limit Comparison Test with the series n=1 E. It is impossible to...
(1 point) Which of the following series converges by the Alternating Series Test? A. (-5)" n7 n1 B sin(n) 5n2 00 O C. (-1)"n2 +5n 3n2 + 7 n1 IM8 M8 00 D. n1 (-1)" 5n-1 E. Both A and B.
Problem 3. (1 point) Consider the series 4+ (-4)" 8" Which of the following statements accurately describes the series? A. It converges to B. It converges to C C. It converges to 38 21 D. It converges to E. None of the above, the series diverges. Problem 4. (1 point) Which of the following series converges by the Alternating Series Test? 48 (-1) (-1)" Vn - 5 00 sin(n) B. 7n2 nal (-1)"m? + in 3n2 + 7 Do D....
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
(1 point) Consider the series jo 4+(-1)"n? 7n3 - 5 n1 Which of the following statements accurately describes the series? O A. The series converges by the Alternating Series Test. B. The series diverges by the Integral Test. O 4 C. The series converges by the Limit Comparison Test with the series ni 7n3 O D. The series converges by the Integral Test. O E. The series diverges by the Divergence Test.
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)", n 6 E 1 sin2 (3n) 2. n2 00 (п+ 1)(15)" 3. B 42n n-1 OC 6(6)" A 4. 2n 11 n 1 00 (-1)" In(e") п° cos(пт) C 5. n-1 1 D 6. п(m(n))? п-2 A. Geometric series B. Ratio test C. Integral test D. Comparison with a convergent p series. E. Alternating series test c2
(1 point) Select the FIRST correct reason...
(1 point) This series converges Check all of the following that are true for the series 5 sin na n2 n-1 OA. This series converges OB. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. OF. The ratio test can be used to determine convergence of...
(1 point) Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above 1. n² + √n n4 – 4 sin?(2n) n2 E 4 (n + 1)(9)" n=1 2n + 2 cos(NT) 16. In(3n)
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
(1 point) Consider the series 8+(-1)" 8n5 - 9n n1 Which of the following statements accurately describes the series? O A. The series diverges by the Integral Test. B. The series converges by the Alternating Series Test. . C. The series diverges by the Divergence Test. D. The series converges by the Limit Comparison Test with the series 8 8n5 O E. The series converges by the Integral Test.
(1 point) Assume we are trying to determine the convergence or divergence of the series 2n2 + 6n3 no 3n2 n1 M8 Which of the following statements accurately describes the series? O A. The series converges conditionally. OB. The series diverges by the Divergence Test. O 1 C. The series converges by the Limit Comparison Test with the series n n=1 2 D. The series converges by the Limit Comparison Test with the series n=1 E. It is impossible to...
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