Question: Show me the steps to solve this problem. The answer is given below.Find the Fourier series for the functionf(x)={|x|+2,-2x2,0,2x6,f(x+8)=f(x)(b)On the interval -4x8, Draw a graph

Show me the steps to solve this problem. The answer is given below.Find the Fourier series for the functionf(x)={|x|+2,-2x2,0,2x6,f(x+8)=f(x)(b)On the interval -4x8, Draw a graph of the function to which the series converges.Answer: (a)32+n=1{8n22[cos(n2)-1]+8nsin(n2)}cos(nx4)

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