To which of the following series can we apply the alternating series test ? 0 *...
(1 point) The series is an alternating series but we can apply the ratio test to to test for absolute convergence. Applying the ratio test for absolute convergence you would compute lim (k+1 = li k00 ak k- 00 Hence the series converges Note that you will have to simplify your answer for the limit or you will get an error message.
(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 4. (1 point) Which of the following series converges by the Alternating Series Test? sin(n) 7n2 00 (-7) 72 B. n1 no 00 C. (-1)"n2 + 7n 2n2 + 10 n1 00 O D. (-1)" 7/n - 3 O E. Both A and B.
Name: MAC 0. Does the following series meet the requirements of the Alternating Series test? Why or why not? o cos(na/4) 2 ln(n)
(1 point) For each of the following series, tell whether or not you can apply the 3-condition test (.e. the alternating series test). If you can apply this tost, enter the series diverges, or if the series converges. If you can't apply this test (even if you know how the series behaves by some other test), enter N. 1. 3 (-1) 2 Σ (-1) n! (-1'n! 3. (-1) cos() 5. (-1) 2 + 5 6. (-1)
(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...
The serie (-1)*+1 2. converges by Alternating Series Test. What is the smallest number of terms required to approximate the sum of the series with e < 10-4? none of the above 2n +1 Consider the series - n3 + 3n n=0 Which of the following statements are true? Check all that apply. 21 TL non The series is comparable to a geometric series. Root Test will work to establish convergence/divergence of the series. The series converges.
Use the Alternating Series Test, if applicable to determine the convergence or divergence of the series. (-1)"\n(n) n n2 Identify a Evaluate the following limit. lima Since lima 7.0 and an + 1 2 an for all n-Select-
(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...
The Alternating Series Test and convergence. 8 = angle Pod sino g 3! as 3! a 7 " Functions can often be represented by an infinite series. A series reprezentation can help to solve differential equations, to fin derivatives, or to compute integrals involving the function. Computers also use these series representations to perform calculations. For example sin (0) 0 +... allows a calculator to give a decimal approximation of values of sine. Click here to access the Exo ore...