the horizontal asymptote equals zero when: the degree of the numerator is greater than the degree of the…

the horizontal asymptote equals zero when: the degree of the numerator is greater than the degree of the denominator the numerator equals zero the degree of the numerator and denominator are equal the degree of the numerator is less than the degree of the denominator

the horizontal asymptote equals zero when: the degree of the numerator is greater than the degree of the denominator the numerator equals zero the degree of the numerator and denominator are equal the degree of the numerator is less than the degree of the denominator

Answer

Brief Explanations:

For a rational - function $y = \frac{f(x)}{g(x)}$, where $f(x)$ and $g(x)$ are polynomials, if the degree of the numerator $n$ is less than the degree of the denominator $m$ ($n<m$), then $\lim_{x\rightarrow\pm\infty}\frac{f(x)}{g(x)} = 0$, and the horizontal asymptote is $y = 0$.

Answer:

the degree of the numerator is less than the degree of the denominator