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

The answer is y=0

Step-by-step explanation:

using general form which is a * (1 / (1/b (x-h)) + k and h=3 and k=o and h=x and k=y

y = 0

Step-by-step explanation:

f (x) = (x - 2) / (x - 3) ²

Take the limit as x approaches - ∞ and ∞. Since the power of the denominator is greater than the power of the numerator, both limits are 0:

lim (x→-∞) f (x) = 0

lim (x→∞) f (x) = 0

So the horizontal asymptote is y = 0.