Homework 3: Problem 9 Previous Problem Problem List Next Problem (1 point) Use the ratio test...
(2 points) Use the ratio test to determine whether in+2 "Ta converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 6. (b) Evaluate the limit in the previous part. Enter o as infinity and - as -infinity. If the limit does not exist, enter DNE. lim 1200 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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 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...
(1 point) Consider the series 14" (n+1)102141 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim d. 1 a Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to Infinity or negative infinity Which of the following statements is true? A. The Ratio Test says that the...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
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
Homework 7: Problem 5 Previous Problem Problem List Next Problem (1 point) Applying the ratio test to the series = (x + 1)2.44 you would compute ak+1 lim "4+1 = lim 5/(k^2(1+(2/k)^2(16)) = 5/16 k->00 akk >00 Hence the series converges . Note that you will have to simplify your answer for the limit or you will get an error message.
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
There is a series where Use the ratio test to see if the series converges Compute: Does the limit of L exist, diverge to infinity, diverge to negative infinity, or it diverges but not to infinity or negative infinity. Thanks infinity an an = (8n2 + 6) *(-6)" (8n+3) dn+1 L = limn-->infinity an