So yeah trying to factor this and this is probably my algebra being rusty coming back to bite me in the ass.

lim x -> 2 for the function

3 - square root of 5x - 1 / x- 2

so this is as far as I got

(3 - square root of 5x - 1)(3 + square root of 5x-1) / (x - 2) (3 + square root of 5x - 1)

9 - (5x - 1) / (x - 2)(3 + square root of 5x - 1)

and I'm stuck.

Sorry if there is a way to insert a square root symbol I'm brand new to this site.