The Fourier series of the function $f ( x ) = \left\{ \begin{aligned} x & \text { if } x 0 \end{aligned} \right\}$ on $[ - 2,2 ]$ are Select all that apply. A) contains only cosine terms B) contains only sine terms C) contains sine and cosine terms D) contains a constant term E) contains sine, cosine, and constant terms

Question

The Fourier series of the function $f ( x ) = \left\{ \begin{aligned}
x & \text { if } x < 0 \
2 - x & \text { if } x > 0
\end{aligned} \right\}$ on $[ - 2,2 ]$ are Select all that apply.
A) contains only cosine terms
B) contains only sine terms
C) contains sine and cosine terms
D) contains a constant term
E) contains sine, cosine, and constant terms

Quizplus · Accepted Answer

The Answer of The Fourier series of the function $f ( x ) = \left\{ \begin{aligned}
x & \text { if } x < 0 \
2 - x & \text { if } x > 0
\end{aligned} \right\}$ on $[ - 2,2 ]$ are Select all that apply.
A) contains only cosine terms
B) contains only sine terms
C) contains sine and cosine terms
D) contains a constant term
E) contains sine, cosine, and constant terms

The Fourier Series of the Function f(x)={x if x<02−x if x>0}f ( x ) = \left\{ \begin{aligned}x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{aligned} \right\}f(x)={x2−x​ if x<0 if x>0​}

The Fourier Series of the Function $f ( x ) = \left\{ \begin{aligned}x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{aligned} \right\}$