What is the asymptotes of (x^3-x)/(x^2-4) ?

The asymptotes of (x^3-x)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x

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asymptotes of (x^3-x)/(x^2-4)

asymptotes

\frac{x ^{3} - x}{x ^{2} - 4}

Vertical : x = - 2, x = 2, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3} - x}{x ^{2} - 4} : x = - 2, x = 2

Horizontal Asymptotes of

\frac{x ^{3} - x}{x ^{2} - 4} :

None

Slant Asymptotes of

\frac{x ^{3} - x}{x ^{2} - 4} : y = x

Vertical : x = - 2, x = 2, Slant : y = x

f (x) = \frac{8 x ^{2} + 18}{10 x ^{2} - 9}

f (x) = \frac{2 x + 10}{x ^{2} + 3 x - 10}

f (x) = \frac{7 x}{x + 14}

\frac{x ^{2} - 2 x - 1}{( x - 1 ) ^{2}}

f (x) = \frac{( x ^{2} - 25 )}{x ^{2} - x - 20}

What is the asymptotes of (x^3-x)/(x^2-4) ?
The asymptotes of (x^3-x)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x