Science:Math Exam Resources/Courses/MATH101/April 2017/Question 05 (b)
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Question 05 (b) 

Evaluate (Hint: interpret the sum as a Riemann sum.) Simplify your answer fully. 
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 

As the hint, try to express this question as Riemann Sum, i.e., 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. In fact, we can change expression in the question to following: From this form, we can easily see every element in the Riemman Sum that
Then this limit becomes
