What is the asymptotes of f(x)=((x^3))/(x^4-1) ?

The asymptotes of f(x)=((x^3))/(x^4-1) is Vertical: x=-1,x=1,Horizontal: y=0

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asymptotes of f(x)=((x^3))/(x^4-1)

asymptotes

f (x) = \frac{( x ^{3} )}{x ^{4} - 1}

Vertical : x = - 1, x = 1, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{x ^{4} - 1} : x = - 1, x = 1

Horizontal Asymptotes of

\frac{x ^{3}}{x ^{4} - 1} : y = 0

Slant Asymptotes of

\frac{x ^{3}}{x ^{4} - 1} :

None

Vertical : x = - 1, x = 1, Horizontal : y = 0

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

\frac{x ^{2} - 36}{3 x ^{2} + 9 x - 162}

f (x) = \frac{2 x ^{2} + 5 x + 2}{2 x - 4}

\frac{x ^{2} - 25}{2 x ^{2} + 13 x + 15}

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

What is the asymptotes of f(x)=((x^3))/(x^4-1) ?
The asymptotes of f(x)=((x^3))/(x^4-1) is Vertical: x=-1,x=1,Horizontal: y=0