Fourier series: Convergence of Fourier series
Convergence of Fourier series
Let #f# be the #12#-periodic even function determined by \[f(x)=4\,x^2\phantom{xxx}\text{for}\phantom{xxx}0\le x\le6 \] and let \(s(x)\) denote the Fourier series of #f#.
Determine \[s(40),\hspace{1.1cm}s(18),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(8)\]
Determine \[s(40),\hspace{1.1cm}s(18),\hspace{0.5cm}\text{and}\hspace{0.5cm}s(8)\]
| \(s(40)=\) |
| \(s(18)=\) |
| \(s(8)=\) |
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