What is the asymptotes of (5x^2+3x-2)/(x^3-8) ?

The asymptotes of (5x^2+3x-2)/(x^3-8) is Vertical: x=2,Horizontal: y=0

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asymptotes of (5x^2+3x-2)/(x^3-8)

asymptotes

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 8}

Vertical : x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 8} : x = 2

Horizontal Asymptotes of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 8} : y = 0

Slant Asymptotes of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 8} :

None

Vertical : x = 2, Horizontal : y = 0

f (x) = \frac{3}{x} + 2

f (x) = \frac{2 x}{x ^{2} + 5}

\frac{5 x ^{2} - 25 x}{- 4 x ^{2}}

f (x) = \frac{x ^{2} + 1}{x}

f (x) = \frac{2 x ^{2}}{x + 1}

What is the asymptotes of (5x^2+3x-2)/(x^3-8) ?
The asymptotes of (5x^2+3x-2)/(x^3-8) is Vertical: x=2,Horizontal: y=0