1. Let {an} be such that an 7 0 and let lim I'ifl = 05. Which of the following statements is always true? 71,)00 a) The series 2 (1)\"+1an converges absolutely. n=1 00 b) The series 2 (1)\"'Han converges conditionally. n=1 00 c) The series 2 (1)\"+1an diverges. n=1 d) None of the above. 2. Let {an} be such that an 7 0 and let lim Ilyll = 1. Which of the following statements is always true? 'rL>oo a" 00 a) The series 2 (1)\""'1an converges absolutely. n=1 00 b) The series 2 (1)\""'1a.n converges conditionally. n=1 00 c) The series 2 (1)\"+1an diverges. n=1 d) None of the above. 3. The Ratio Test is useful in determining the convergence or divergence of which of the following series? 00 ln(n+5) a) nIE-l-Z 71:1 00 2 3) E % n=1 C) EgsinlmTinnr) i) All of the above. 4. Which of the following series converges? 0 n 0 n+1 0 1 "'1 (1) mm (2) E n2 +2 (3) \"2:31 (x)+1_ a. 1,2 b. 2 6. 2,3 (1. 1,2,3 e. None of the above 5. Which of the following series converges? (1) 2% (2) 27% (3) 2 \"if\" 11:1 01:1 'n,=1 a. 1,2 b. 2 (1. 2,3 d. 1,2,3 e. None of the above