Let be a real, periodic function satisfying \(f\left( { - x} \right) = - f\left( x \right)\). The general form of its Fourier series representation would be

\(f\left( x \right) = {a_0} + \mathop \sum \limits_{k = 1}^\infty {a_{2k}}\cos \left( {kx} \right)\)

\(f\left( x \right) = {a_0} + \mathop \sum \limits_{k = 1}^\infty {a_k}\cos \left( {kx} \right)\)

\(f\left( x \right) = \mathop \sum \limits_{k = 1}^\infty {b_k}\sin \left( {kx} \right)\)

\(f\left( x \right) = \mathop \sum \limits_{k = 0}^\infty {a_{2k}} + \sin \left( {2k + 1} \right)x\)

Let be a real, periodic function satisfying \(f\left( { - x} \right) =

1.	Let be a real, periodic function satisfying \(f\left( { - x} \right) = - f\left( x \right)\). The general form of its Fourier series representation would be
A.	\(f\left( x \right) = {a_0} + \mathop \sum \limits_{k = 1}^\infty {a_k}\cos \left( {kx} \right)\)
B.	\(f\left( x \right) = \mathop \sum \limits_{k = 1}^\infty {b_k}\sin \left( {kx} \right)\)
C.	\(f\left( x \right) = {a_0} + \mathop \sum \limits_{k = 1}^\infty {a_{2k}}\cos \left( {kx} \right)\)
D.	\(f\left( x \right) = \mathop \sum \limits_{k = 0}^\infty {a_{2k}} + \sin \left( {2k + 1} \right)x\)
Answer» C. \(f\left( x \right) = {a_0} + \mathop \sum \limits_{k = 1}^\infty {a_{2k}}\cos \left( {kx} \right)\)

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Let be a real, periodic function satisfying \(f\left( { - x} \right) = - f\left( x \right)\). The general form of its Fourier series representation would be

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