- 1 (344.33 KiB) Viewed 10 times
5) Determine the Fourier Series for f(x)=x² in the interval -
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
5) Determine the Fourier Series for f(x)=x² in the interval -
5) Determine the Fourier Series for f(x)=x² in the interval -<x<T. (a) f(x) = [(x²/n²) sin(nx) n=1 π³ (b) f(x)= + Σ(-1)" (1/n²) cos(nx) 2 n=1 (c) ƒ(x) = ² + (−1)*(1/n²) cos(nx) + Ž(1/n²) sin(nx) 2 n=1 n=1 DO (d) f(x)=2Σ (-1)" (6-n²r²)/n² sin(nx) =1 (e) ƒ(x)= Σ(7-1/n³) sin(x) n=1 [10 Marks]