Science:Math Exam Resources/Courses/MATH101/April 2010/Question 01 (d)
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Question 01 (d) 

The first two nonzero terms in the powerseries representation in powers of (i.e. the Maclaurin series) for have the form for some constants and Find the value of 
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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 

The Maclaurin series for is

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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. From the Maclaurin polynomial we see that
so
Which means 