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  • 16-12-2021
  • Mathematics
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Which function(s) have horizontal asymptotes of y = 0

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goddessboi goddessboi
  • 16-12-2021

Answer:

See below

Step-by-step explanation:

A rational function has a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. For example, if [tex]f(x)=\frac{x+1}{x^2-3}[/tex], then there's a horizontal asymptote at y=0 because the end behavior of the function is [tex]f(x)\approx\frac{x}{x^2}=\frac{1}{x}[/tex] where the outputs will approach zero.

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