What is the asymptotes of (x^3-3x)/(x^2-1) ?

The asymptotes of (x^3-3x)/(x^2-1) is Vertical: x=-1,x=1,Slant: y=x

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asymptotes of (x^3-3x)/(x^2-1)

asymptotes

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

Vertical : x = - 1, x = 1, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 3 x}{x ^{2} - 1} : x = - 1, x = 1

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{3} - 3 x}{x ^{2} - 1} : y = x

Vertical : x = - 1, x = 1, Slant : y = x

f (x) = \frac{x ^{2} - 5 x + 6}{x ^{2} - 9}

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

\frac{2 x + 6}{x + 4}

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

f (x) = sec (π x) - 3

What is the asymptotes of (x^3-3x)/(x^2-1) ?
The asymptotes of (x^3-3x)/(x^2-1) is Vertical: x=-1,x=1,Slant: y=x