Hey all,
I've been working on a question, and I was whether someone could go through my work and see where I went wrong.
The problem is:
Find the fourier series of the box function on the domain
:
I need to find the coefficients
&
for the fourier series on the domain
.
I can find the coefficients by using the following equations:
and
I decided, because the function is piecewise continuous, to complete the following integrals
and
Not from
to
and not from
to
as
in these domains.
I find that
, and
. I can find
.
Thus, my fourier series is the following:
.
The answer supplied is the following series.
I feel my solution can not be transformed into that solution. Is there something wrong with my working?
Thanks for your time.