Fourier series: Convergence of Fourier series
Convergence of Fourier series
Let #f# be the #10#-periodic even function determined by \[f(x)=-2\,x^2\phantom{xxx}\text{for}\phantom{xxx}0\le x\le5 \] and let \(s(x)\) denote the Fourier series of #f#.
Determine \[s(-31),\hspace{1.1cm}s(15),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(-20)\]
Determine \[s(-31),\hspace{1.1cm}s(15),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(-20)\]
| \(s(-31)=\) |
| \(s(15)=\) |
| \(s(-20)=\) |
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