the funtion is cosh(z)/(1 -z) about z=0

to find the series representation would i not just multiply the series of cosh(z) with that of 1/(1-z) about z=0

After that is there any simplifying i could do? or will it just be a multiplication of 2 sums?

am i missing any tricks? seems too easy to do the way i'm doing it.

thanks for any help!