Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -{{21}\over{x-7}}-6 &\text{if }\displaystyle x\lt3\\ \\ \displaystyle \sqrt{x-3} &\text{if }\displaystyle 3\le x\lt10\\\\\displaystyle 2 x ^2-10 x +1 &\text{if } \displaystyle x\ge10 \end{cases} \]
Evaluate \(f(0)\).
Evaluate \(f(0)\).
| \(f(0)=\) |
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