For each series indicate by name the test you are using, explain why the test applies to the series, and clearly show how you are applying the test.
The types/tests you will need to use are listed here:
Geometric Series, p-Series, Test for Divergence, Integral Test, (Direct) Comparison Test, Limit Comparison Test
There are six series to test here. Each type/test listed above will be used EXACTLY ONCE. Be aware that more than one test could apply to a given series, but you will have to make a choice based on all of the other series you are testing.
For each series indicate by name the test you are using, explain why the test applies...
(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...
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
series rest I want to know exact test name thank you Write several complete simple sentences about how each series is convergent or divergent, including which test is applied! nth-Term Test for Divergence, Geometric Series Test, p-Series Test, Integral Test, Absolute Convergence, Alternating-Series Tes Ratio Test, Root Test, Direct Comparison Test, & Limit Comparison Test 4. 9(-1)*(1+4)
(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)
The convergent, divergent tests or techniques that are discussed in chapter 11 1. Geometric Series 2. P-Series 3. Harmonic Series 4. Telescopic series 5. Divergence Test 6. Integral Test 7. Comparison Test 8. Limit Comparison Test 9. Alternating series test 10. Ratio Test 11. Root test which method and why? 8. Ση (-1)* Inn (n=1
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following? (a) It converges. (b) It diverges. (e) The test cannot be used here. (d) There is no way to tell. 2n + 5 12. Suppose that we use the Limit Comparison Test to test the series 3n3 + n2 - 4n+1 for convergence. Which of the following series should be used for comparison? (a) n 13+ n2 (b) (c) (d) În
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 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...
Ch9 Review: Problem 17 Prev Up Next (1 pt) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F Diverges by limit comparison test G. Cannot apply any test done so far in class In(n) 72 2. 72 3. COS 7) Cos nTT In(7) 4. 72 72 12 Note: You can earn...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...