Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -{{8}\over{7 x -40}}-2 &\text{if }\displaystyle x\le5\\ \\ \displaystyle \sqrt{12 x -60} &\text{if }\displaystyle 5\lt x\le8\\\\\displaystyle 10-x &\text{if } \displaystyle x\gt8 \end{cases} \]
Evaluate \(f(8)\).
Evaluate \(f(8)\).
| \(f(8)=\) |
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