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3. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral

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3. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satised. 2: Tn n=1 n2 +31 Select the correct choice below and. if necessary. ll in the answer box to complete your choice. (Type an exact answer.) 7:: +s1 m 0 A- The series converges because I d): = 1 cc 'ht 1Hm C The Integral Test cannot be used since one or more of the conditions for the Integral Test l5 0 ' not satised. O B. The series diverges because on = 4. Does the series shown below converge or diverge? Give a reason for your answer. (When you check your answer. remember that there may be more than one way to determine the series' convergence or divergence.) on 2: 5n 5n+1 n=1 Choose the correct answer below. O A. Converges (geometric series} 0 B. Diverges [nth-tent] test] 0 C. Diverges [geometric series) 0 D. Convergenth-tenn tEst) 5. Find out whether the series given below converges or diverges. E En(n+1) n+1 n=3 Choose the correct answer below. 0 A. The integral test shows that the series diverges. O B. The integral test shows that the series converges. O C. The nth-tenn test shows that the series converges. 1. Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. K=4 7ek Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges. The value of the integral dx 7ex - is (Type an exact answer.) OB. The series converges. The value of the integral (Type an exact answer.) O C. The Integral Test does not apply to this series. 2. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 18 3 k=3 kin k Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 3 O A. The series converges because -dx = 3 x In *x (Type an exact answer.) 3 O B. The series diverges because -dx = X In x (Type an exact answer.) Oc. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied

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