Suppose you're given the following Fourier coefficients for a function on the interval
-π,π :
a₀ = -1/2π
a₁ = 2/π, a₂ = 1/2π, a₃ = -1/3π
b₁ = 1/π, b₂ = -2/2π, b₃ = -1/3π
Find the following Fourier approximations.
F₀(x) = _________.
F₁(x) = _________.
F₂(x) = _________.
F₃(x) = _________.