MATH307 December 2012
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Question 04 (e)
Consider the Fourier series
(e) Find the value of
Hint: Use that
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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!
Express the integral in terms of c-1 and c1. Then, plug n = -1 and n = 1 in the formular for cn given in part (d).
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Using the hint given in the question, we have
From part (d) we know that , which we plug into our equation above to calculate
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