Question

Enter your answer as an integer. If there is no horizontal asymptote, enter the word none.

Answer 1

Given

$h(x)=\frac{4x^3+4x-3}{2x^4+3x-3}$

Find

Horizontal Asymptotes

Explanation

As we know that there is two possible cases in arational function for there to be a horizontal asymptotes.

both depend on the higher degree of numerator and denominator.

1, if degree of denominator is equal to degree of numerator then there will be a horizontal asymptote at the ratio between the coefficients of the highest degree of the function.

2. if degree of denominator is lower to degree of numerator then there will be a horizontal asymptote at the y=0

here in given function degree of denominator is less than degree of numerator , so horizontal asymptote at y=0

Final Answer

horizontal asymptote at y=0