Hi in my textbook there is the following question and my teacher said one similar is likely to be in the final exam. Can anyone help?

let f(z) = (z^2 + 2z -5)/((z^2+4)(z^2+2z+2)) If C is the circle |z|=R show that lim (from R to infinity) of the cyclic integral f(z) dz=0

I don't really know where to start