Problem #14: Consider the following statements. [2 marks] 18 Vn (i) converges. n=2 - n (ii) n - 2 converges. 2n + 3 n = Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True, False, then you would enter '1,2' into the answer box below (without the quotes). Problem #14: Save Problem #15: Using only the alternating series test, which of the following series can we conclude converges? [2 marks] (i) E (-1)ng n= 0 00 (ii) _ (-1)" cos(1) n = 0 00 (iii) E ( 4 ) " n = 1 (A) (ii) only (B) (i) and (ii) only (C) (iii) only (D) (i) only (E) (ii) and (iii) only (F) (i) and (iii) only (G) all of them (H) none of them Problem #15: Select vProblem #16: If the sum of the series, [2 marks] S = n (In n)8 n =2 is approximated by 3 $3 = n (In n)8 n =2 what does the integral error estimate give as an upper bound for the remainder s - S3? (A) - (B 3(In 7)- 4(In 4)8 (C) 3(In 3)8 (D) 7(In 3) 7 (E) 7(In 4)' (F) none of these Problem #16: Select v Save