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Let f(x) = x. (a) Find all of the Fourier coefficients of f. (b) Find Pₙ for N = 1, 2, 3, 4, and 5. (c) Using technology, create a graph of f(x) and P₁(x) on the same set of axes, then graph f(x) and P₂(x) on the same set of axes, and so on, until you have five sets of axes, each with the graph of f and the graph of Pₙ for N = 1, 2, 3, 4, and 5.
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