Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{7}\over{x-5}}-1 &\text{if }\displaystyle x\le0\\ \\ \displaystyle 6 x ^2-7 x +8 &\text{if }\displaystyle 0\lt x\lt5\\\\\displaystyle {{4\cdot \sqrt{x}}\over{\sqrt{7}}} &\text{if } \displaystyle x\ge5 \end{cases} \]
Evaluate \(f(7)\).
Evaluate \(f(7)\).
| \(f(7)=\) |
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