Fourier series: Convergence of Fourier series
Convergence of Fourier series
Let #f# be the #6#-periodic even function determined by \[f(x)=3-x\phantom{xxx}\text{for}\phantom{xxx}0\le x\le3 \] and let \(s(x)\) denote the Fourier series of #f#.
Determine \[s(-6),\hspace{1.1cm}s(16),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(9)\]
Determine \[s(-6),\hspace{1.1cm}s(16),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(9)\]
| \(s(-6)=\) |
| \(s(16)=\) |
| \(s(9)=\) |
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