Science:Math Exam Resources/Courses/MATH103/April 2015/Question 01 (a) (i)
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Question 01 (a) (i) 

Given the following general terms determine whether the corresponding sequences are converging, diverging, and/or bounded. (do not calculate the limit of converging sequences.)
(i) 
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Hint 

What is ? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Let . Obviously, , so the sequence diverges. For different values of , the sequence takes the values i.e. for odd n's becomes smaller and smaller, and for even n's becomes larger and larger, this means that it has no upper and lower bound, so it is unbounded. 