installer2001
Member level 2
HEllo ,
Plz help me in solving these problems regarding Fourier Series:
1):Find Fourier Sine Series for f(x)=x^2 -Π(pie)<x<Π(pie)
and deduce Π^2/12=1-1/4+1/9-1/16 +-------------------
Π indicates PIE
2):With the help of fourier Sine series and Fourier Cosine series
f(x)=x+1 0<x<Π(pie)
Deduce 1-1/3+1/5-1/7 --------------------- = Π(pie)/4
1+1/(3^2)+1/(5^2)+1/(7^2)--------= Π^2/8
3);Find the fourier Sine series for function f(x) =e^x 0<x<Π(pie)
Plz help me in solving these problems regarding Fourier Series:
1):Find Fourier Sine Series for f(x)=x^2 -Π(pie)<x<Π(pie)
and deduce Π^2/12=1-1/4+1/9-1/16 +-------------------
Π indicates PIE
2):With the help of fourier Sine series and Fourier Cosine series
f(x)=x+1 0<x<Π(pie)
Deduce 1-1/3+1/5-1/7 --------------------- = Π(pie)/4
1+1/(3^2)+1/(5^2)+1/(7^2)--------= Π^2/8
3);Find the fourier Sine series for function f(x) =e^x 0<x<Π(pie)