Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 2 x -5 &\text{if }\displaystyle x\lt-3\\ \\ \displaystyle \sqrt{{{49 x }\over{3}}+49} &\text{if }\displaystyle -3\le x\le7\\\\\displaystyle {{9}\over{3 x +11}}+10 &\text{if } \displaystyle x\gt7 \end{cases} \]
Evaluate \(f(0)\).
Evaluate \(f(0)\).
| \(f(0)=\) |
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