Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-5 x -10} &\text{if }\displaystyle x\le-2\\ \\ \displaystyle -{{70}\over{5 x +14}}-10 &\text{if }\displaystyle -2\lt x\lt1\\\\\displaystyle -10 x ^2+x-5 &\text{if } \displaystyle x\ge1 \end{cases} \]
Evaluate \(f(0)\).
Evaluate \(f(0)\).
| \(f(0)=\) |
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