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

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

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

asymptotes

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

g (x) = 2^{x - 2}

x^{2} + x - 1

f (x) = \frac{64}{x ^{2} + 16}

\frac{x - 5}{x + 6}

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