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Calculus and Beyond Homework Help
Fourier series and even extension of function
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[QUOTE="vela, post: 4983136, member: 221963"] No, your results aren't correct. The ##n^2## shouldn't be inside the square root in ##a_n##. It also doesn't look like you integrated correctly. In your expression for ##a_0##, you're integrating over the entire interval, but you didn't use the even extension for f(x). Finally, the constant term in the series isn't correct. It should be of the form ##a_0/\sqrt{2\pi}## where ##1/\sqrt{2\pi}## is there because it's the basis function. You can simplify the expression for the series a bit by considering what happens when ##n## is even and when ##n## is odd. [/QUOTE]
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Fourier series and even extension of function
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