(2 pts) Construct the first three Fourier approximations to the square wave function x...

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(2 pts) Construct the first three Fourier approximations to the square wave function −π ≤ x < −π/2 -π/2 < x < π/2 π/2 < x < π F₁(x) = projÃ₁ (f) =| F₂(x) = projT₂ (f) =| F3 (x) = projT₂ (f) = f(x): = { 1 -1 Using a calculator, graph the function and the first three Fourier approximations to see how the approximation matches the function f(x) (2 pts) Construct the first three Fourier approximations to the square wave function −π ≤ x < −π/2 -π/2 < x < π/2 π/2 < x < π F₁(x) = projÃ₁ (f) =| F₂(x) = projT₂ (f) =| F3 (x) = projT₂ (f) = f(x): = { 1 -1 Using a calculator, graph the function and the first three Fourier approximations to see how the approximation matches the function f(x)