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.

## Answers ( 2 )

Answer:The horizontal asymptote of the function is y=0.Step-by-step explanation:Given :[tex]f(x)=frac{(x-2)}{(x-3)^2}[/tex]To find :What is the horizontal asymptote of the function?Solution :In a rational function,If the degree of the numerator < degree of denominator then a horizontal asymptote can be found.n

In the given function,[tex]f(x)=frac{(x-2)}{(x-3)^2}[/tex]

The degree of numerator is 1.

The degree of denominator is 2

The degree of the numerator < degree of denominatornWhen this

condition satisfythen horizontal asymptote is always y=0Therefore, The horizontal asymptote of the function is y=0.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.