(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A function f(x) is given as follows

f(x) = 0, , -pi <= x <= pi/2

f(x) = x -pi/2 , pi/2 < x <= pi

determine if it's fourier series (given below)

[itex]F(x)=\pi/16 + (1/\pi)\sum=[ (1/n^{2})(cos(n\pi) - cos(n\pi/2))cos(nx)

- (1/(2n^{2}))( n\pi cos(n\pi) + 2sin(n\pi/2) )sin(nx) ][/itex]

for n= 1 to infinity

converges to it for the case of x = pi/2

2. Relevant equations

F(x) = 0.5*[f(x+) + f(x-) ]

3. The attempt at a solution

see pdf attachment

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# Fourier series convergence test

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