Finding the residue of the following function

Hi all, I have the following function and I need to find the residue at the double pole . Any tips? I'm hoping to not have to use the Laurent expansion for this. I know that . I'm aware of a limit formula for higher order poles but I don't know how to manipulate the function to get it in that form. Maybe that's not even needed. Thanks!

Re: Finding the residue of the following function

Re: Finding the residue of the following function

I got the answer, thanks!