Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -3 x ^2+3 x -2 &\text{if }\displaystyle x\le4\\ \\ \displaystyle 1-x &\text{if }\displaystyle 4\lt x\lt7\\\\\displaystyle {{7}\over{5 x -14}}+1 &\text{if } \displaystyle x\ge7 \end{cases} \]
Evaluate \(f(6)\).
Evaluate \(f(6)\).
| \(f(6)=\) |
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