Equation of the asymptote is (1-a)x + b and the limit of course goes to 0 because it is the distance between the function and the asymptote.
yeah im just trying to find the equation to the oblique asymptote of this function and to do this i need to evaluate this limit: lim(x->infinity) (x sqrt(x/(x-1)) - (ax + b)) need to find the values of a and b which satisfy this. any help would be great. Thanks.