17. Write g : [0, ] → R for the Sin function, i.e. g(x) = sin(x). We can try and write g in terms of Cosine functions! Calculate the coefficient in Fourier's Cosine series E, ak cos(kx) for g. Why can you be sure that the series converges to g? k%3D( Calculate your expression for g at the point x = 1/2 to obtain an infinite series for T.
17. Write g : [0, ] → R for the Sin function, i.e. g(x) = sin(x). We can try and write g in terms of Cosine functions! Calculate the coefficient in Fourier's Cosine series E, ak cos(kx) for g. Why can you be sure that the series converges to g? k%3D( Calculate your expression for g at the point x = 1/2 to obtain an infinite series for T.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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