Practice similar Use the Integral Test to determine whether the infinite series is convergent. n n= Fill in the corresponding integrand and the value of the improper integral. Enter inf for oo, -inf for -oo, and DNE if the limit does not exist. Compare with S da = By the Integral Test, the infinite series En- OS / CIT n=1 O A. converges O B. divergesQ Practice similar Use the Integral Test to determine Whether the innite series is convergent. 00 2 Z\" n:22 (n3 + 6)% To perform the integral test, one should calculate the improper integral I20; '13: : Enter inf for 00, inf for oo, and DNE if the limit does not exist. By the Integral Test, 2 00 the 1nn1te series E 7 11222 (n3 + 6)E O A. converges O B. diverges W Practice similar Use the Integral Test to determine whether the infinite series is convergent. 0O H n= n2 +1 Fill in the corresponding integrand and the value of the improper integral. Enter inf for oo, -inf for -oo, and DNE if the limit does not exist. Compare with S1 da = By the Integral Test, H the infinite series E n=1 n2 +1 O A. converges O B. divergesPractice similar Use the Integral Test to determine whether the infinite series is convergent. 20ne-n? n=4 Fill in the corresponding integrand and the value of the improper integral. Enter inf for co, -inf for -co, and DNE if the limit does not exist. Compare with SA da = By the Integral Test, 0O the infinite series > 20ne- n=4 O A. converges O B. divergesQ Practice similar Use the Integral Test to determine whether the innite series is convergent. 0 8 2 81mm, 1121 Fill in the corresponding integrand and the value of the improper integral. Enter inf for 00, inf for 00, and DNE if the limit does not exist. Compare With f 100 dat- = By the Integral Test, 00 8 the innite series E n:1 811171 O A. converges O B. diverges Q Practice similar Use the Comparison Test to determine Whether the innite series is convergent. 28 00 Z \" 71471. :2 23 00 By the Comparison Test, the innite series 2 O A. converges O B. diverges Note: You are allowed only one attempt on this problem. 7. Practice similar Use the Comparison Test to determine whether the infinite series is convergent. sinn n6 sinn By the Comparison Test, the infinite series n6 n=1 O A. converges O B. diverges Note: You are allowed only one attempt on this problem.10. Practice similar

on with terms of the form bn = np and apply the limit comparison test. Write your answer as a fully n=5 simplified fraction. For n > 5, lim an = lim (b) Evaluate the limit in the previous part. Enter co as infinity and -co as -infinity. If the limit does not exist, enter DNE. lim an (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? ChoosePart 1: Divergence Test Identify the corresponding positive terms: bn = Evaluate the limit: lim on = Since lim bn is Select the Divergence Test tells us Select n -too Part 2: Alternating Series Test Test for Convergence Compute the derivative: d dn -bn Since d -bn Select the sequence 7c2ed78135c270ddca7628693be3b12f_636198c0814a4.pdf SCICCI Y. JU te Anteinating Series Test tells us an Select Absolute vs. Conditional Since the corresponding positive series ) 4e n Select by the Select the alternating series n=1 4(-e)- converges Select(1 point) Test the series for convergence or divergence. | Part 1: Divergence Test Identify: bn 2 Evaluate the limit: lim b" = 'I'LNDO Since hm b" is Select V, then the Divergence Test tells us Select V. n00 | Part 2: Alternating Series Test The Alternating Series Test is unnecessary since the Divergence Test already determined that Select Q Practice similar Determine Whether the series is absolutely convergent, conditionally convergent, or divergent: 0 sin 2n 2% n:1 The series is P v . 4. Practice similar Determine whether the series is absolutely convergent, conditionally convergent, or divergent: n n8 n=1 The series is . VQ Practice similar Approximate the value of the series to within an error of at most 104. i0: (_1)n+l n21 \"6 Apply Theorem (3) from Section 10.4 to determine '3 SNI oo @ Practice similar