Find the Fourier series for f (x) = 4, 0

Question

Find the Fourier series for f (x) = 4, 0 < x <  
A) $ -\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{2 n x}{3} $ 
B) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}+1}{n} \cdot \sin \frac{2 n x}{3} $ 
C) $ -\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{3 n \pi x}{2} $ 
D) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{3 n \pi x}{2} $ 
E) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}+1}{n} \cdot \sin \frac{3 n \pi x}{2} $

Quizplus · Accepted Answer

The Answer of Find the Fourier series for f (x) = 4, 0 < x <  
A) $ -\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{2 n x}{3} $ 
B) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}+1}{n} \cdot \sin \frac{2 n x}{3} $ 
C) $ -\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{3 n \pi x}{2} $ 
D) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{3 n \pi x}{2} $ 
E) $ \frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}+1}{n} \cdot \sin \frac{3 n \pi x}{2} $

Find the Fourier Series for F (X) = 4, 0 −8π∑n=1∞(−1)n−1n⋅sin⁡2nx3 -\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{2 n x}{3} −π8​∑n=1∞​n(−1)n−1​⋅sin32nx​

Find the Fourier Series for F (X) = 4, 0 $-\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n}-1}{n} \cdot \sin \frac{2 n x}{3}$