Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 4 x &\text{if }\displaystyle x\le4\\ \\ \displaystyle -{{9}\over{x+2}}-3 &\text{if }\displaystyle 4\lt x\lt7\\\\\displaystyle \sqrt{3 x -12} &\text{if } \displaystyle x\ge7 \end{cases} \]
Evaluate \(f(0)\).
Evaluate \(f(0)\).
| \(f(0)=\) |
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