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  3. 2 let f and g have the fourier series fz...

Question: 2 let f and g have the fourier series fz...

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2. Let f and g have the Fourier series f(z) ao + Σ an cos(nz) + bn sin(nz) and g(z) co + Σ Cn cos(nz) + dn sin(nz). a. Show that the Fourier series for Af(a) + Bgwhere A and B are constants is b. Find a similar form of the identity above for complex Fourier series. (You will need this in problem 13.) c. Find the Fourier senes for z = z on π π Use it, the Founer forz2 (see exercise l, g. 96, and the formulas above to find the Foun er senes for z z? zon T,T

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