Science:Math Exam Resources/Courses/MATH104/December 2010/Question 01 (m)
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Question 01 (m) 

Let be the third degree Taylor polynomial for the function at x=0. Determine the value of . 
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 that the mth coefficient in a Taylor Polynomial is given by 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. In general if is the nth degree Taylor polynomial to centred at then the coefficient is If then Since we are centering about , 