Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{8}\over{4 x -5}}+7 &\text{if }\displaystyle x\le0\\ \\ \displaystyle -2 x ^2+7 x -5 &\text{if }\displaystyle 0\lt x\lt3\\\\\displaystyle 2 x -9 &\text{if } \displaystyle x\ge3 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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