Science:Math Exam Resources/Courses/MATH103/April 2015/Question 01 (b) (ii)
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Question 01 (b) (ii) 

Determine whether the following series converge or diverge. (do not calculate the value of converging series.)

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 hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall the limit comparison test: For two series and , if , then if one of the series converges/diverges then the other also converges/diverges. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. First note that , so we cannot use the divergence test. However, we can apply the limit comparison test, comparing the series with . In fact, since
