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question #2 true or false. if the horizontal asymptote of a rational fu…

Question

question #2 true or false. if the horizontal asymptote of a rational function is y = 0, then the degree of the numerator is less than the degree of the denominator. true false

Explanation:

Step1: Recall rational - function asymptote rule

For a rational function $f(x)=\frac{P(x)}{Q(x)}$, where $P(x)=a_nx^n+\cdots+a_0$ and $Q(x)=b_mx^m+\cdots + b_0$ ($a_n
eq0$, $b_m
eq0$), if $n < m$, then $\lim_{x
ightarrow\pm\infty}f(x)=0$, and the horizontal asymptote is $y = 0$.

Answer:

True