Find the horizontal asymptotes:

Question

y=
2x2
3x3​

Answer 1

To find the horizontal asymptotes of a rational function, we compare the degrees of the numerator and denominator.

For the function y = 2x^2 / 3x^3, the degree of the numerator is 2 and the degree of the denominator is 3.

Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote will be y = 0.

Therefore, the horizontal asymptote of the function y = 2x^2 / 3x^3 is y = 0.