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The serie (-1)*+1 2. converges by Alternating Series Test. What is the smallest number of terms...
QUESTION 8.1 POINT Determine whether the following geometric series converges or diverges, and if it converges,...
QUESTION 8.1 POINT Determine whether the following geometric series converges or diverges, and if it converges, find its sum. -4()** If the series converges, enter its sum. If it does not converge, enter Ø. Provide your answer below: P FEEDBACK Content attribution QUESTION 9.1 POINT Given 72 2 (n! Inn)" which of the following tests could be used to determine the convergence of the series Select all that apply. Select all that apply: The alternating series test. The ratio test....
Test the series for convergence or divergence. 00 (-1)" +1 2n? n = 1 converges diverges...
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
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges...
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
(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)
(I point) (a) Check all of the following that are true for the series Σ 2-1 A. This series conver...
(I point) (a) Check all of the following that are true for the series Σ 2-1 A. This series converges B. 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 ratio test can be used to determine convergence of this series. F. The alternating series test can be used to determine convergence of this series. (b) Check all...
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate...
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.00 (-1) + 1 11 5 X
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate...
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.001.
12. [8 points) Use either the Alternating Series Test or the Test for Divergence to determine...
12. [8 points) Use either the Alternating Series Test or the Test for Divergence to determine if the series converges or diverges. (-1)"+1 2n + 3 n=1
Use a convergence test of your choice to determine whether the following series converges or diverges....
Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the...
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral...
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral test, • P-series test, • Comparison test, • Limit comparison test, Alternating series test, Absolute convergence theorem (absolute and conditional convergence), Ratio test, and • Root test. 1. Determine the convergence of the following series. State the test(s) you used to determine convergence. C. Σε 4-2k+1
QUESTION 8.1 POINT Determine whether the following geometric series converges or diverges, and if it converges, find its sum. -4()** If the series converges, enter its sum. If it does not converge, enter Ø. Provide your answer below: P FEEDBACK Content attribution QUESTION 9.1 POINT Given 72 2 (n! Inn)" which of the following tests could be used to determine the convergence of the series Select all that apply. Select all that apply: The alternating series test. The ratio test....
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) 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)
(I point) (a) Check all of the following that are true for the series Σ 2-1 A. This series converges B. 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 ratio test can be used to determine convergence of this series. F. The alternating series test can be used to determine convergence of this series. (b) Check all...
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.00 (-1) + 1 11 5 X
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.001.
12. [8 points) Use either the Alternating Series Test or the Test for Divergence to determine if the series converges or diverges. (-1)"+1 2n + 3 n=1
Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the...
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral test, • P-series test, • Comparison test, • Limit comparison test, Alternating series test, Absolute convergence theorem (absolute and conditional convergence), Ratio test, and • Root test. 1. Determine the convergence of the following series. State the test(s) you used to determine convergence. C. Σε 4-2k+1
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