- #1
elimenohpee
- 67
- 0
Homework Statement
I need to find the domain of absolute convergence of the following series:
[tex]^{\infty}_{1}[/tex][tex]\sum(z+3)^{2n}/(2n)![/tex]
Homework Equations
Ratio test?
The Attempt at a Solution
I'm not really sure how to handle the complex variable z within the series. I attempted to use the ratio test and simplified down to this:
[tex]lim (n->\infty) |(z+3)^{2}/(2n+1)(2n+2)|[/tex]
I'm assuming I simplified this down to this point correctly of course. Can someone nudge me in the right direction? I just need to know how to handle z.