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In: Advanced Math

Find the half-range expansions of the given function. To illustrate the convergence of the cosine and...

  1. Find the half-range expansions of the given function. To illustrate the convergence of the cosine and sine series, plot several partial sums of each and comment on the graph (using words).
  2. f(x) = 1 if 0 < x < 1.
  3. f(x) = π-x if 0 ≤ x ≤ π.
  4. f(x) = x2 if 0 < x <1.

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