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

The asymptotes of f(x)=(x^2-2x)/(x^3-x) is Vertical: x=-1,x=1,Horizontal: y=0

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asymptotes of f(x)=(x^2-2x)/(x^3-x)

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} - 2 x}{x ^{3} - x} : y = 0

Slant Asymptotes of

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

None

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

f (x) = \frac{2 x - 3}{x + 5}

f (x) = \frac{x ^{2} + 6 x + 9}{x + 3}

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

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

ln (x - 6)

What is the asymptotes of f(x)=(x^2-2x)/(x^3-x) ?
The asymptotes of f(x)=(x^2-2x)/(x^3-x) is Vertical: x=-1,x=1,Horizontal: y=0