In Fourier series \(f\left( x \right) = {a_0} + \mathop \sum \limits_{n - 1}^\infty \left\{ {{a_n} + \cos \left( {nx} \right) + {b_n}\sin \left( {nx} \right)} \right\}\)

\({a_0} = \mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)dx\)

\({a_0} = \frac{1}{{2\pi }}\mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)dx\)

\({a_0} = \frac{1}{{2\pi }}\mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)\sin \left( x \right)dx\)

In Fourier series \(f\left( x \right) = {a_0} + \mathop \sum \limits_{

1.	In Fourier series \(f\left( x \right) = {a_0} + \mathop \sum \limits_{n - 1}^\infty \left\{ {{a_n} + \cos \left( {nx} \right) + {b_n}\sin \left( {nx} \right)} \right\}\)
A.	\({a_0} = \frac{1}{{2\pi }}\mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)dx\)
B.	\({a_0} = \mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)dx\)
C.	\({a_0} = \frac{1}{{2\pi }}\mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)\sin \left( x \right)dx\)
D.	None of these
Answer» B. \({a_0} = \mathop \smallint \limits_{ - \pi }^\pi f\left( x \right)dx\)

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In Fourier series \(f\left( x \right) = {a_0} + \mathop \sum \limits_{n - 1}^\infty \left\{ {{a_n} + \cos \left( {nx} \right) + {b_n}\sin \left( {nx} \right)} \right\}\)

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