Given the following function

x(t)=1/p 0

0 p

x(t) = x(t+T).

Here T = 2(5-2)

a) Explain why the Fourier expansion of this function does not have a term of sin(p/3 t)

b) Calculate the expansion of x(t) , when p 0.

c) Discuss the issue of domain for this function (hint, show the possible domain(s)).

d) In stead of (5-2), if T , can you have a Fourier transform of x(t) and why?

e) Under the condition of d), when p 0, show your Laplace transform and discuss your Laplace variable.