Is...
(1)
The (1) converges for . Setting in (1) we have...
(2)
... and the (2) converges for ...
Kind regards
Let f(z) = (z+2)/(z-2)
Find the Maclaurin series for f on the domain abs(z) < 2. Find the Laurant series for f centered at z0 = 0 on the domain 2 < abs(z) < Inf. And find the Laurant Series for f centered at z0 = 2 on the domain 0 < abs(z-2) < Inf.