The Function $f ( x ) = \left\{ \begin{array} { c c } x & \text { if } x < 0 \\2 + 5 x & \text { if } x > 0\end{array} \right\}$

question 17

Multiple Choice

The function $f ( x ) = \left\{ \begin{array} { c c } x & \text { if } x < 0 \\2 + 5 x & \text { if } x > 0\end{array} \right\}$ has a Fourier series on $[ - 2,2 ]$ that converges at $x = 0$ to

• A) 0
• B) 1
• C) 1/2
• D) 2
• E) unknown

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