Need help over a problem with horizontal assymptote

Hey,

Basically I have attempted a solution to my problem, it did not get the correct answer and I cannot figure out how to get the correct answer. Looking for where I am making my mistake and how to correct it!

** Question **

Find the limit

** Attempted solution: **

*pretend that is in front, I am making a mess trying to coordinate this with that and it's just easier to show without..

***Multiplied by conjugate

The highest value of x is "x" so I divide that through the numerator and denominator and get:

Which is giving me 0 on the bottom. I do not know how to fix this and was hoping someone could give me a hand here.

Thanks alot!