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Solve these problems QUESTION 1 An infinite sequence is increasing if its consecutive terms are smaller for all n 21, and it is decreasing if
Solve these problems
QUESTION 1 An infinite sequence is increasing if its consecutive terms are smaller for all n 21, and it is decreasing if its consecutive terms are larger for all n = 1. O True O False QUESTION 2 The limit of the nth term of a sequence determines whether or not the sequence converges or diverges. O True O FalseWhich of the following are alternating series? 1. (-1)2 00 (-1)"-1 COS HA 3. O 00 (-1) "-1 O None of them (-1)2 O 00 COS HAQUESTION 3 Approximate the sum of the following series by using the first 4 terms E Give three decimal digits of accuracy. QUESTION 4 A sequence is an ordered list of numbers and is denoted by O True O FalseQUESTION 5 The limit of the sum of two convergent sequences is the sum of the limit of the sequences, True O False QUESTION 6 The Squeeze theorem that was applied to the limit of functions that have the inequality relationship f(x)=g(x)sh(x) is also adapted to infinite sequences with have the relationship a 2b 20 so that if the limit of each of the bounding sequences has the same value L, then the limit of the inner sequence is also L. O True O FalseQUESTION 7 The limit of the nth term of a sequence determines whether or not the sequence converges or diverges. O True O False QUESTION 8 Starting at n =1, the third term of the sequence is ( = 27 is N W 8 O True O FalseQUESTION 9 Which of the following tests will establish that the series iM: converges ? 2n- + 1 None O 00 Comparison Test with iM 3/2 Comparison Test with O Comparison Test with 1=l n 2Step by Step Solution
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