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

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

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

asymptotes

f (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

ln (\frac{1}{x + 2})

f (x) = \frac{1}{2} sec (x - \frac{π}{6})

x + 7

2 x + y = - 4

(12, 5), (- 4, 9)

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