Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)
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Question 04 (b) 

Determine, with explanation, whether the series converges absolutely, converges conditionally, or diverges. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

Do you remember what the Ratio test says? 
Hint 2 

Remember that 
Hint 3 



Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We want to use the Ratio test, so we look at the limit: Since this limit is greater than , by the Ratio test, the series diverges. 
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Current user rating: 53/100 (12 votes) Hard Easy 
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Candidates for deletion, MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Ratio test
