Assignment:
A general form of Parseval's Theorem says that if two functions are expanded in a Fourier Series
f(x) =1/2 ao + Sigma [(an cos(nx)) + bn sin(nx)]
g(x) 1/2 ao' + Sigma [(an' cos(nx)) + bn' (sin(nx)]
Then the average value, < f(x)g(x)>, is:
1/4 ao = sigma[an an' + bn bn'] prove this and using any two functions
Please give an example.
Provide complete and step by step solution for the question and show calculations and use formulas.