Hello, I want to calculate laurent series and its convergence radius of:
Here it is what i've done, I'm not sure if we can do it in this way:
for
so:
for
so:
for
Is it right?
Thank you.
We can start from the series expansion...
(1)
... and then, setting...
(2)
... find the imposing...
(3)
From (3) now we derive directly...
(4)
... and so one, so that is...
(5)
... and now, deviding (5) by , we obtain...
(6)
The Laurent series (6) converges for ...
Kind regards