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

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

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asymptotes of f(x)=(x^3+1)/(x^2-1)

asymptotes

f (x) = \frac{x ^{3} + 1}{x ^{2} - 1}

Vertical : x = 1, Slant : y = x

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 1, Slant : y = x

f (x) = 2 x^{3} + 3 x^{2} - 12 x

f (x) = - x^{2} + 10 x - 23

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

5 sin (3 x + π)

f (x) = - 16 t^{2} + 1700

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