Questions for Mathematics Assignment-2
1. Determine bn in Fourier series expansion of f(x) =1/2(π-x) in 0
2. What is constant term a0 and an in Fourier series expansion of
f(x) =x-x^3 in (-π, π).
3. Find Half range sine series for f(x)=2 in 0
4. Find Fourier series for f(x)=|cosx| in interval (-π, π).
5. Find Fourier series up to second harmonic for following data
| α | 0 | 1 | 2 | 3 | 4 | 5 |
| f(x) | 9 | 18 | 24 | 28 | 26 | 20 |
6. Find Fourier series expansion of period 1 for
f(x) = x (0, 1/2) 1-x (1/2 , 1).
7. Find complex form of Fourier series for the f(x) = e^-x in (-1, 1).
f(x) = -1+x (-π < style=""> 1+x (0 < style=""> Hence deduce 1-1/3+1/5+…….. = π/4.
9. Find Fourier series for f’ (a) =x^2 is (-π, π).
Hence find 1/1^4 + 1/2^4 + 1/3^4+…….
