SOLUTION: find all horizontal asymptotes of the rational function. 1. 3x^3-17x^2+5x/x^5-2x^3 2.5x^2-2x-5/8x^2+x+4

Algebra ->  Test -> SOLUTION: find all horizontal asymptotes of the rational function. 1. 3x^3-17x^2+5x/x^5-2x^3 2.5x^2-2x-5/8x^2+x+4      Log On


   

Question 1059024: find all horizontal asymptotes of the rational function.
1. 3x^3-17x^2+5x/x^5-2x^3
2.5x^2-2x-5/8x^2+x+4
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
3x^3-17x^2+5x/x^5-2x
The first term in the numerator divided by the first term in the denominator is 3/x^2. As x increases without bound, the value is 0. The horizontal asymptote is 0. While it appears that it approaches only from the negative side when x is positive, it does cross the x-axis on the right before gradually approaching 0.
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5x^2-2x-5/8x^2+x+4
The ratio of the first term in both the numerator and the denominator is 5/8. When x gets large, only the term with the highest power matters.
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