What is the horizontal asymptote of the function f(x)=(x-2)/(x-3)^2

To find this, take the limit of the given function as x increases without bound.  Because the highest x power in the numerator (1) is smaller than that in the denominator, f(x) tends to zero as x increases without bound.  Thus, the equation of the horiz. asy. here is y = 0.