Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -8 x ^2+8 x -8 &\text{if }\displaystyle x\lt4\\ \\ \displaystyle \sqrt{3 x -12} &\text{if }\displaystyle 4\le x\lt6\\\\\displaystyle 3-{{9}\over{2 x -2}} &\text{if } \displaystyle x\ge6 \end{cases} \]
Evaluate \(f(1)\).
Evaluate \(f(1)\).
| \(f(1)=\) |
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