Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -3 x -2 &\text{if }\displaystyle x\lt-1\\ \\ \displaystyle {{8}\over{2 x +7}}-7 &\text{if }\displaystyle -1\le x\le3\\\\\displaystyle -x^2-7 &\text{if } \displaystyle x\gt3 \end{cases} \]
Evaluate \(f(8)\).
Evaluate \(f(8)\).
| \(f(8)=\) |
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