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

1 Answer
BeeFree
Dec 6, 2015

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

Explanation:

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

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