4. Use the Root Test to determine if the foltowing series converges absolutely or diverges. m H 9 "2 n X 2.1-1) [1H] (Hint: llm (1+xln} =3 l ".1 nme Since the limit resulting from the Root Test ls . (1} (Type an exact answer.) (1) O the series diverges. O the Root Test is inconclusive. O the series converges absolutely. 5. Use any method to determine if the series converges or diverges. Give reasons for your answer. E hl n = 'l 13\" Select the correct choice below and. if necessary. ll in the answer box to complete your choice. 0 A. The series diverges by the Absolute Convergence Test. GO 0 B. The Comparison Test with E ni shows that the series diverges. n = 1 1 O C. The Comparison Test with z n SHOWS that the series OOHVEI'QBS. _ 13 n - 1 Q n. The series converges by the Absolute Convergence Test. 0 E. The series converges because the limit used in the nth-Term Test is O F. The series diverges because the limit used in the nth-Term Test Is 6. Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 n 2\". n=1"5 Select the correct choice below and ll in the answer box to complete your choice. 0 A. The series diverges because the limit used in the Ratio Test is O B. The series converges because the limit used in the Ratio Test is co 1 O C. The series converges per the Integral Test because Igor: = 1 as O D. The series diverges per the Integral Test because ledx = B 1 1. Use the Ratio Test to determine if the following series converges absolutely or diverges. M 15" n ! n = 1 Since the limit resulting from the Ratio Test is (1) (1) O the Ratio Test is inconclusive. O the series diverges. O the series converges absolutely. 2. Use the Ratio Test to determine if the following series converges absolutely or diverges. [ (- ynn- (n + 6) ! n = 1 n!720 Since the limit resulting from the Ratio Test is (1) (Simplify your answer.) (1) O the series converges absolutely. O the Ratio Test is inconclusive. the series diverges. 3. Use the Root Test to determine if the following series converges absolutely or diverges. M : n= 1 (2n + 3)0 Since the limit resulting from the Root Test is (1) Type an exact answer.) (1) O the series converges absolutely. O the series diverges. O the Root Test is inconclusive