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

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Advance Math

  1. Find the half-range expansions of the given function. Toillustrate the convergence of the cosine and sine series, plotseveral partial sums of each and comment on the graph (usingwords).
  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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