Question

Find the fourier series for f(x)=xsinx in

Answer 1

Well, first you should know that basics of fourier series and fourier transform

Now,

We can calculate fourier series only for signals which are periodic in nature

Now,

The given function is not periodic

As t=x tends to infinity, f (x) will tend to infinity

Hence the answer for the above question is fourier series will not exist

Extra fact :

For the above question , even the Fourier transform won't exist because it will not satisfy the Drichlett's condition

That is Area under the curve as x tends to infinity should be less than infinity