Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-x} &\text{if }\displaystyle x\le0\\ \\ \displaystyle -{{3}\over{3 x +3}}-5 &\text{if }\displaystyle 0\lt x\lt4\\\\\displaystyle 8 x -8 &\text{if } \displaystyle x\ge4 \end{cases} \]
Evaluate \(f(7)\).
Evaluate \(f(7)\).
| \(f(7)=\) |
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