Solved

Find the Fourier Series of the Function F Having Period $\pi$

Question 120

Multiple Choice

Find the Fourier series of the function f having period 2 $\pi$ and defined by f(x) = 0 if - $\pi$ < x $\le$ 0 and f(x) = 1 if 0 < x $\pi$ .

A) $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ + $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ sin((2n - 1) x)
B) 1 + $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ sin((2n - 1) x)
C) $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ + $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ sin(2nx)
D) 1 + $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ sin(2nx)
E) $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ + $Find the Fourier series of the function f having period 2 \pi and defined by f(x) = 0 if - \pi < x \le 0 and f(x) = 1 if 0 < x \pi . A) + sin((2n - 1) x) B) 1 + sin((2n - 1) x) C) + sin(2nx) D) 1 + sin(2nx) E) + cos((2n - 1) x)$ cos((2n - 1) x)