Science:Math Exam Resources/Courses/MATH103/April 2016/Question 08 (b)
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Question 08 (b) 

Find at . 
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Hint 

Consider the power series representation of at , and compare with the series obtained in the part (a). 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. If at has a power series representation, then This implies that where the last equality follows from the part (a). Comparing the coefficient of , we have Therefore, the 8th derivative of at is 
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