fall17mth143.practice2.1-Sequences.pdf

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Answer(s) submitted: (incorrect) Correct Answers: 0 14. (1 point) Find the limit of the sequence a n = arctan ( - 2 n ) . If the limit does not exist, type ”Diverges” or ”D”. Limit: Answer(s) submitted: (incorrect) Correct Answers: -pi/2 15. (1 point) Consider the sequence given by x n = A cos ( Bn ) ( - 6 ) n . Compute, in terms of A and B lim n x n . You may assume A , B 6 = 0. lim n x n = If the limit is , write ”Infinity” If the limit is - , write ”-Infinity” If the limit does not exist, write ”DNE”. Answer(s) submitted: (incorrect) Correct Answers: 0 3

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16. (1 point) Consider the sequence given by x n = A cos ( Bn ) C n . Compute, in terms of A , B , and C , lim n x n , if (i) C < - 1: (ii) 0 < | C | < 1 and A , B 6 = 0: (iii) C > 1: . If the limit is , write ”Infinity” If the limit is - , write ”-Infinity” If the limit does not exist, write ”DNE”. Answer(s) submitted: (incorrect) Correct Answers: 0 DNE 0 Generated by c WeBWorK, , Mathematical Association of America 4
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