Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 3 x -3 x ^2 &\text{if }\displaystyle x\lt1\\ \\ \displaystyle 2 x &\text{if }\displaystyle 1\le x\le5\\\\\displaystyle {{8}\over{6 x -2}}+9 &\text{if } \displaystyle x\gt5 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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