Suppose a, and be are series with positive terms and on is known to be divergent....
2. [-/2 Points] DETAILS SCALCET8 11.4.002. MY NOTES ASK YOUR TEACHER Suppose <a, and on are series with positive terms and Co is known to be divergent. (a) If an > b, for all n, what can you say about <a,? Why? Ο We cannot say anything about Σας: La converges if and only if n.a, 2 bn. La converges by the Comparison Test. La, diverges by the Comparison Test. a converges if and only if 2a, z on (b)...
At least one of the answers above is NOT correct. (1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you...
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent by using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for "incorrect") if any part of the argument is flawed (Note: if the conclusion is true but the argument that led to it was wrong, you must enter l.) In(n) > 1, , and the...
(3 points) NOTE: Only 3 attempts are allowed for the whole problem 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. Diverges by alternating series test cos(nT) In(5) 2 1t 00 n(n) 4 1t 1t n In(n)
(3 points) NOTE: Only 3 attempts are allowed...
(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...
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...
Suppose that an >0 and bn >0 for all n2N (N an integer). If lim = , what can you conclude about the convergence of an? A. a, diverges if by diverges, and an converges if bn converges. an diverges if by diverges. c. a, converges if be converges. OD. The convergence of an cannot be determined.
7. -16.25 points Scalc7 11.6.001. What can you say about the series an in each of the following cases? lim an+1 = 3 nan absolutely convergent conditionally convergent divergent cannot be determined (b) lim. Sat2 | = 0.9 absolutely convergent conditionally convergent divergent cannot be determined lim an+1 = 1 O absolutely convergent conditionally convergent divergent cannot be determined Submit Answer 5. -16.25 points Scalc7 11.5.009. Test the series for convergence or divergence. § 41–19e-n n = 1 converges diverges
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter l.) 1. For all n > 2, -16く흘, and...
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter 1 (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) 1. For all n > 2, 6...