(iii) At x = 0, the Fourier Sine Series of 2x – 2, 0 (A) –2 (В) —1 (C) 0 (D) 1
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Q: Q2: Expand f(x) in a sine-cosine Fourier series TT 20, f(x) = { -<x< '4' π ¹4, 1<x<T. 4
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- Exercise 3. (i) Show that g(x) = cos(kx) 3k k=1 defines a continuous function g : [0, ] → R. (ii) Compute 플 6.³ g(x) dx. You can leave your answer in the form of a power series.I need help with these: a) Find the Fourier series of f(x) = |x| where −L < x < L. b) What is the Fourier series of the function f of period 2L defined byf(x) = -1 if −L < x< 0,f(x) = 1 if 0 < x < L,What does the series converge to when x = 0?Express f(x) = |x| Fourier series. Hence obtain -T2. Consider the function f : [0, 1] → R which is defined by f(x) = 1, 2x, 0Determine the FOURIER COSINE series of f(x) = 2x² in the interval 0 < z < T.Let f(x) = x, where - 2< x< 2 %3D determine the number to which the full fourier series of f converges at x = 2 -2 1. -4Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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