Problem #10: 03 What is the smallest number of terms of the series 2 (1)\" +1 that would have n=1 to be added in order to estimate its sum with an absolute error that is less than .001? Problem #10: I:| n22" PI'OIJIEITI # 1 1: Which of the following series are conditionally convergent? arclnn n (i) 2 (1)\" \"2 n=1 (ii) 2 (1)\"'1 3311 11:] 0 {3 1 (iii) 2 meld/:1) =2 (A) all of them (B) (i) and (ii) only (C) (ii) and (iii) only (D) (i) and (iii) only (E) (i) only (F) (ii) only (G) none of them (H) (iii) only Problem # 1 2: Use the ratio test to determine which of the following series converge. (A) (i) and (iii) only (B) all of them (C) (i) only (D) (ii) only (E) (i) and (ii) only (F) (iii) only (G) (ii) and (ill) only (H) none of them Problem #13: Consider the following series. OO 4" (2n)! 2 . 6 . 10 . ... . (4n + 2) n= Find a simplified expression for the ratio ~+1 an 4(2n + 1) 4(2n + 2)(2n + 1) (A) (4n + 6)(4n + 5)(4n + 4)(4n + 3) (B) (4n + 6)(4n + 5)(4n + 4)(4n + 3) 4(2n + 2) (C) (D) 4(2n + 2)(2n + 1) (E) 4(2n + 1) (F) 4(2n + 2) (4n + 6)(4n + 5)(4n + 4)(4n + 3) 4n + 3 An + 6 4n + 6 (G) 4(2n + 2)(2n + 1) (H) 4(2n + 1) 4n + 6 4n + 3