3. Calculate the Fourier sine series expansion of f(x) = -2¹ on [0.1.
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- 21. Examine the series for convergence (-1)" Σ n· 3n n= 2. Find the region of convergence of the series (x + 2)" Σ 10n n=12- Obtain the complex form of the Fourier series of the function f(x) = {" 0Find the complete Fourier series for f(x) = x³ on the interval [-T, π]. Use your result and Parseval's theorem, to find 1 n6 n=15. Expand the following function in Fourier series where f(x) = { show that f(x): = + 22-1 [(-1)^-1 nπ ·cos nxX- [1 when -13. Find the Fourier sine series expansion and Fourier series expansion, respectively, for x.0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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