Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{2}\over{6 x -14}}-8 &\text{if }\displaystyle x\le2\\ \\ \displaystyle -4 x ^2-10 x -1 &\text{if }\displaystyle 2\lt x\le5\\\\\displaystyle \sqrt{5 x -10} &\text{if } \displaystyle x\gt5 \end{cases} \]
Evaluate \(f(5)\).
Evaluate \(f(5)\).
| \(f(5)=\) |
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