Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 8 x -5 &\text{if }\displaystyle x\lt-1\\ \\ \displaystyle 4 x ^2+8 x -2 &\text{if }\displaystyle -1\le x\le10\\\\\displaystyle 1-{{9}\over{x+7}} &\text{if } \displaystyle x\gt10 \end{cases} \]
Evaluate \(f(5)\).
Evaluate \(f(5)\).
| \(f(5)=\) |
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