Answer
If the degree of the numerator of a rational function equals the degree of the denominator, then setting y equal to the ratio of the leading coefficients gives the equation of the horizontal asymptote. True.
Work Step by Step
If $f\left( x \right)=\frac{{{a}_{n}}{{x}^{n}}+\cdots +{{a}_{0}}}{{{b}_{m}}{{x}^{m}}+\cdots +{{b}_{0}}},\ {{a}_{n}}\ne 0,{{b}_{m}}\ne 0.$
If $n=m$ , the line $y=\frac{{{a}_{n}}}{{{b}_{m}}}$ is the horizontal asymptote of the graph of f.
If the degree of the numerator of a rational function equals the degree of the denominator, then setting y equal to the ratio of the leading coefficients gives the equation of the horizontal asymptote.
