Let \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} { - π }&{if\;}&{ - π be a periodic function of period 2π. The coefficient of sin 5x in the Fourier series expansion of f(x) in the interval [-π, π] is

Let \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} { - π }

1.	Let \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} { - π }&{if\;}&{ - π < x \le π } \end{array}} \right.\)< span>be a periodic function of period 2π. The coefficient of sin 5x in the Fourier series expansion of f(x) in the interval [-π, π] is
A.	\(\frac{4}{5}\)
B.	\(\frac{5}{4}\)
C.	\(\frac{4}{3}\)
D.	\(\frac{3}{4}\)
Answer» B. \(\frac{5}{4}\)

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Let \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} { - π }&{if\;}&{ - π < x \le π } \end{array}} \right.\)< span>be a periodic function of period 2π. The coefficient of sin 5x in the Fourier series expansion of f(x) in the interval [-π, π] is

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