In 15 and 16, write out the first five nonzero terms in the FourierLegendre expansion of
Chapter 12, Problem 15(choose chapter or problem)
12.6.2 Fourier-Legendre Series
In Problems 15 and 16, write out the first five nonzero terms in the Fourier-Legendre expansion of the given function. If instructed, use a CAS as an aid in evaluating the coefficients. Use a CAS to graph the partial sum \(S_{5}(x)\).
\(f(x)=\left\{\begin{array}{rr}0, & -1<x<0 \\ x, & 0<x<1\end{array}\right.\)
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