Question

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

Answer 1

The answer is y=0

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

Answer 2

y = 0

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.