What is the asymptotes of r(x)=(5x^3)/(x^3+2x^2+5x) ?

The asymptotes of r(x)=(5x^3)/(x^3+2x^2+5x) is Horizontal: y=5

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asymptotes of r(x)=(5x^3)/(x^3+2x^2+5x)

asymptotes

r (x) = \frac{5 x ^{3}}{x ^{3} + 2 x ^{2} + 5 x}

Horizontal : y = 5

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 5

x^{3} + x^{2} - 3 x - 1

f (x) = - x^{2} - 8

- 5 sin (6 x + \frac{π}{2})

- sin (\frac{x}{2}) + 2

lo g_{2} (x + 3)

What is the asymptotes of r(x)=(5x^3)/(x^3+2x^2+5x) ?
The asymptotes of r(x)=(5x^3)/(x^3+2x^2+5x) is Horizontal: y=5