the singular points are z=2pik
and poles because there limit is infinity
now i want to determine te power of the pole
g=1/f=
the book says that its a second order pole
which is not true
because
where it should differ zero in order to be pole
the singular points are z=2pik
and poles because there limit is infinity
now i want to determine te power of the pole
g=1/f=
the book says that its a second order pole
which is not true
because
where it should differ zero in order to be pole
i have solved the 2pi k part
for zero i have a problem
the singular points are z=2pik and zero
i solved for z=2pik
and poles because there limit is infinity
now i want to determine te power of the pole
g=1/f=
the book says that its a first order pole
it should differ zero in order to be pole
It's always good to have different methods for doing the same thing, that way you can check if your answers coincide. I'm going to give you how I would do it, and then you figure out where your argument went wrong.
Take expand in Taylor series and you get that the first term is form which it follows that at has a first order pole. Since is periodic and the numerator doesn't vanish at any point other than , we get that the poles for with are of order