What is the horizontal asymptote of the function f of x is equal to the fraction with numerator open paren x minus 2 close paren and denominator open paren x minus 3 close paren squared ?

The numerator has degree 1, while the denominator (x - 3) squared has degree 2. Since the denominator’s degree is greater, the fraction approaches 0 as x becomes very large in either direction. Therefore, the horizontal asymptote is y = 0, choice B.

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