How do you find the horizontal asymptote for $f(x) = (x+3)/(x-2)^3$ ?

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Answer 1 · 2015-12-06T21:30:40

Look at the coefficients on the variables with the greatest exponents for both the numerator and denominator ...

Numerator : highest exponent is 1 $(1x^1)$ and the coefficient is also 1.

Denominator : highest exponent is 3 $(1x^3)$ and the coefficient is 1

So we have $(1x)/(1x^3)$ . As $xrarroo$ , this rational function goes to zero .

Therefore, horizontal asymptote is $y=0$

hope that helped

How do you find the horizontal asymptote for f(x) = (x+3)/(x-2)^3 f(x) = (x+3)/(x-2)^3 ?