Science:Math Exam Resources/Courses/MATH100/December 2015/Question 03 (iv)
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Question 03 (iv) 

Let be the thirddegree Taylor polynomial for some function , expanded about . What is ?

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 

Try to write the general formula for the thirddegree Taylor polynomial for about and compare that with the given formula. 
Hint 2 

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. The thirddegree Taylor polynomial for , expanded about is
Comparing this with the formula given in the question we get
Comparing the coefficient of , we get
and hence
Therefore, the answer is F. 