Q25
Let \[ f ( x ) = \ array*20c - ,\,\, if& - < x 0 \\ ,\,\, if&0 < x array .\] be a periodic function of period 2π. The coefficient of sin5x in the Fourier series expansion of f(x) in the interval [-π, π] is
Let {\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{ - \pi ,\,\,{\text{if}}}&{ - \pi < {\text{x}} \leqslant {\text{0}}} \\
{\pi ,\,\,{\text{if}}}&{0 < {\text{x}} \leqslant \pi }
\end{array}} \right. be a periodic function of period 2π. The coefficient of sin5x in the Fourier series expansion of f(x) in the interval [-π, π] is
A.
Answer
B.
C.
D.
Answer: Option A
Solution
Answer: Option A
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