Find all the vertical asymptotes of the rational function F(x)=4x²-8/3x²-48?

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Find all the vertical asymptotes of the rational function F(x)=4x²-8/3x²-48?

Does f(x) have a horizontal asymptote? If so what is it?

2007-07-17 00:40:00 · 1 answers · asked by rodica 1 in Science & Mathematics ➔ Mathematics

1 answers

Yes, because lim ( x--> oo) (4x²-8)/(3x²-48) = lim ( x--> oo) (4 -8/x^2)/(3 - 48/x^2) = 4/3 and lim (x --> -oo) 4x²-8)/(3x²-48) = 4/3 too. The only asymptote has equantio y = 4/3.
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2007-07-17 01:52:44 · answer #1 · answered by Steiner 7 · 0⤊ 0⤋