Recent content by amk5922

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    Complex Fourier Series of f(x)=x from -pi to pi | Extra Credit Assignment

    I have 1/2pi[((pi*e^-in*pi)/-in)+(1/n^2)(e^-inx)] - [((-pi*e^in*pi)/-in)+(1/n^2)*e^in*pi] which would then simplify down to (I think) 1/2pi[(pi/-in)+(1/n^2)(-1^n)]-[(pi/in)+(1/n^2)(1^n)] And then I'm stuck, I'm not sure what it simplifies down to from here
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    Complex Fourier Series of f(x)=x from -pi to pi | Extra Credit Assignment

    I think I have the correct integration..I have 1/2pi[((x*e^-inx)/-in)+(1/in*1/-in)*e^-inx]. Sorry I'm new and don't know how to properly insert formulas yet!
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    Complex Fourier Series of f(x)=x from -pi to pi | Extra Credit Assignment

    C_n = 1/2pi int(f(x)*e^-inx)dx
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    Complex Fourier Series of f(x)=x from -pi to pi | Extra Credit Assignment

    What is the complex Fourier series of f(x)=x from -pi to pi? I'm in a complex variables class and we have an extra credit assignment to figure out the complex Fourier series of f(x)=x from -pi to pi. We only vaguely covered the topic in class and our book is not very good so I'm not...