Question: Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves obtained by replacing with finite limits; also

Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves obtained by replacing ∞ with finite limits; also look for Gibbs phenomena.

f(x) = x if 1 < x < α and 0 otherwise; by the Fourier cosine transform

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