For a complex function which has an isolated singularity at
1. How do I find out if is a pole or not?
2. If it is a pole what is the order of the pole
Consider for e.g. . Is pole? If yes what is the order of the pole?
Is there a way to find answer to the above question without really writing down the Laurent Series about
A related question I would have is - do we have similar method to comment on essential and removable singularities?