Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -{{1}\over{9 x +31}}-10 &\text{if }\displaystyle x\le-4\\ \\ \displaystyle \sqrt{x+4} &\text{if }\displaystyle -4\lt x\le-1\\\\\displaystyle 7 x ^2+10 x +10 &\text{if } \displaystyle x\gt-1 \end{cases} \]
Evaluate \(f(0)\).
Evaluate \(f(0)\).
| \(f(0)=\) |
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