Homework 7: Problem 5 Previous Problem Problem List Next Problem (1 point) Applying the ratio test...
(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.
Homework 3: Problem 9 Previous Problem Problem List Next Problem (1 point) Use the ratio test to determine whether m2 +2 2" converges or diverges 30 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 30, lim =lim 100 а. (b) Evaluate the limit in the previous part. Enter co as infinity and -oo as-infinity. If the limit does not exist, enter DNE an lim (c) By the ratio test, does the...
Homework 7: Problem 6 Previous Problem Problem List Next Problem (1 point) . 9n3 – n-8 Use the root test to determine whether the series) (5n2 +n + 4) the series ***+9) "converses or diverse converges or diverges. Since lim , which is the series n>00 choose by the root test. choose choose less than 1 equal to 1 greater than 1 Note: You can earn partial credit on this problem. Homework 7: Problem 6 Previous Problem Problem List Next...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
Homework 5: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Integral Test to determine whether the infinite series is convergent. 16ne-n2 n=6 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o, -inf for -00, and DNE if the limit does not exist. Compare with some dx = By the Integral Test, the infinite series 16ne-n? n=6 A. converges B. diverges
Homework 5: Problem 7 Previous Problem Problem List Next Problem (1 point) Find the values of p for which the series converges. 8 WE Answer (in interval notation):
please provide a thorough explanation as to why this diverges or converges Homework 8: Problem 3 Previous ProblemProblem List Next Problenm (1 point) Determine whether the following series converges or diverges Input C for convergence and D for divergence: Note: You have only one chance to enter your answer Preview My Answers Submit Answers You have attempted this problem 0 times You have 1 attempt remaining Homework 8: Problem 3 Previous ProblemProblem List Next Problenm (1 point) Determine whether the...
Homework 10: Problem 8 Previous Problem Problem List Next Problem (1 point) For each of the following series, tell whether or not you can apply the the alternating series test. Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). । (-1)"(n• +1) "43 +7 (-1)"(n୫ + 2n) n3 -1 (-1)(in +1) L...
Previous Problem Problem List Next Problem (1 point) Evaluate the limit. Enter INF for 00, -INF for -00, or DNE if the limit does not exist, but is neither oo nor 5.2 lim 250 22 - 25 2-5 32 5
Previous Problem Problem List Next Problem (1 point) Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. Σ n! n=1 p = lim = int (Enter 'inf' for ..) 2 is: n! n=1 A. convergent B. divergent C. The Ratio Test is inconclusive